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@article{DBLP:journals/ffa/WuYGL25,
  author       = {Danyao Wu and
                  Pingzhi Yuan and
                  Huanhuan Guan and
                  Juan Li},
  title        = {The compositional inverses of three classes of permutation polynomials
                  over finite fields},
  journal      = {Finite Fields Their Appl.},
  volume       = {101},
  pages        = {102523},
  year         = {2025}
}
@article{DBLP:journals/aaecc/WangZDZ24,
  author       = {Yan{-}Ping Wang and
                  Zhengbang Zha and
                  Xiaoni Du and
                  Dabin Zheng},
  title        = {Several classes of permutation polynomials with trace functions over
                  {\textdollar}{\textbackslash}mathbb \{F\}{\_}\{pn\}{\textdollar}},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {35},
  number       = {3},
  pages        = {337--349},
  year         = {2024}
}
@article{DBLP:journals/cam/LiC24,
  author       = {Guanghui Li and
                  Xiwang Cao},
  title        = {The c-boomerang uniformity of two classes of permutation polynomials
                  over finite fields},
  journal      = {Comput. Appl. Math.},
  volume       = {43},
  number       = {8},
  pages        = {437},
  year         = {2024}
}
@article{DBLP:journals/ccds/ChenKPZL24,
  author       = {Changhui Chen and
                  Haibin Kan and
                  Jie Peng and
                  Lijing Zheng and
                  Yanjun Li},
  title        = {Three classes of permutation quadrinomials in odd characteristic},
  journal      = {Cryptogr. Commun.},
  volume       = {16},
  number       = {2},
  pages        = {351--365},
  year         = {2024}
}
@article{DBLP:journals/ccds/GrasslOOT24,
  author       = {Markus Grassl and
                  Ferruh {\"{O}}zbudak and
                  Buket {\"{O}}zkaya and
                  Burcu G{\"{u}}lmez Tem{\"{u}}r},
  title        = {Complete characterization of a class of permutation trinomials in
                  characteristic five},
  journal      = {Cryptogr. Commun.},
  volume       = {16},
  number       = {4},
  pages        = {825--841},
  year         = {2024}
}
@article{DBLP:journals/ccds/GuptaQW24,
  author       = {Rohit Gupta and
                  Luciane Quoos and
                  Qiang Wang},
  title        = {Some classes of permutation binomials and trinomials of index q-1
                  over {\textdollar}\{{\textbackslash}mathbb \{F\}{\_}\{qn\}\}{\textdollar}},
  journal      = {Cryptogr. Commun.},
  volume       = {16},
  number       = {2},
  pages        = {387--402},
  year         = {2024}
}
@article{DBLP:journals/combinatorics/Brignall24,
  author       = {Robert Brignall},
  title        = {Labelled Well-Quasi-Order in Juxtapositions of Permutation Classes},
  journal      = {Electron. J. Comb.},
  volume       = {31},
  number       = {2},
  year         = {2024}
}
@article{DBLP:journals/dcc/ChenM24,
  author       = {Ruikai Chen and
                  Sihem Mesnager},
  title        = {On a class of permutation rational functions involving trace maps},
  journal      = {Des. Codes Cryptogr.},
  volume       = {92},
  number       = {5},
  pages        = {1327--1339},
  year         = {2024}
}
@article{DBLP:journals/eor/PerezGonzalezF24,
  author       = {Paz Perez{-}Gonzalez and
                  Jose M. Frami{\~{n}}an},
  title        = {A review and classification on distributed permutation flowshop scheduling
                  problems},
  journal      = {Eur. J. Oper. Res.},
  volume       = {312},
  number       = {1},
  pages        = {1--21},
  year         = {2024}
}
@article{DBLP:journals/ffa/ChenM24b,
  author       = {Ruikai Chen and
                  Sihem Mesnager},
  title        = {On a class of permutation polynomials and their inverses},
  journal      = {Finite Fields Their Appl.},
  volume       = {96},
  pages        = {102403},
  year         = {2024}
}
@article{DBLP:journals/ffa/LiC24,
  author       = {Guanghui Li and
                  Xiwang Cao},
  title        = {Several classes of permutation polynomials based on the {AGW} criterion
                  over the finite field F22m},
  journal      = {Finite Fields Their Appl.},
  volume       = {95},
  pages        = {102378},
  year         = {2024}
}
@article{DBLP:journals/ffa/YadavGSY24,
  author       = {Akshay Ankush Yadav and
                  Indivar Gupta and
                  Harshdeep Singh and
                  Arvind Yadav},
  title        = {New classes of permutation trinomials of F22m},
  journal      = {Finite Fields Their Appl.},
  volume       = {96},
  pages        = {102414},
  year         = {2024}
}
@article{DBLP:journals/ffa/ZhangZZ24,
  author       = {Tongliang Zhang and
                  Lijing Zheng and
                  Hanbing Zhao},
  title        = {More classes of permutation pentanomials over finite fields with characteristic
                  two},
  journal      = {Finite Fields Their Appl.},
  volume       = {98},
  pages        = {102468},
  year         = {2024}
}
@article{DBLP:journals/ffa/ZhengKZPL24,
  author       = {Lijing Zheng and
                  Haibin Kan and
                  Tongliang Zhang and
                  Jie Peng and
                  Yanjun Li},
  title        = {Two classes of permutation trinomials over Fq3 in characteristic two},
  journal      = {Finite Fields Their Appl.},
  volume       = {94},
  pages        = {102354},
  year         = {2024}
}
@article{DBLP:journals/ieeenl/JiangWLW24,
  author       = {Yanzhuo Jiang and
                  Xueman Wang and
                  Yingxu Lai and
                  Yipeng Wang},
  title        = {A Packet Sequence Permutation-Aware Approach to Robust Network Traffic
                  Classification},
  journal      = {{IEEE} Netw. Lett.},
  volume       = {6},
  number       = {3},
  pages        = {203--207},
  year         = {2024}
}
@article{DBLP:journals/ieiceta/ChenKPW24,
  author       = {Changhui Chen and
                  Haibin Kan and
                  Jie Peng and
                  Li Wang},
  title        = {Four Classes of Bivariate Permutation Polynomials over Finite Fields
                  of Even Characteristic},
  journal      = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
  volume       = {107},
  number       = {7},
  pages        = {1045--1048},
  year         = {2024}
}
@article{DBLP:journals/ieiceta/ChenKPW24a,
  author       = {Changhui Chen and
                  Haibin Kan and
                  Jie Peng and
                  Li Wang},
  title        = {New Classes of Permutation Quadrinomials Over {\(\mathbb{F}\)}\({}_{\mbox{\emph{q}\({}^{\mbox{3}}\)}}\)},
  journal      = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
  volume       = {107},
  number       = {8},
  pages        = {1205--1211},
  year         = {2024}
}
@article{DBLP:journals/ml/LausserSK24,
  author       = {Ludwig Lausser and
                  Robin Szekely and
                  Hans A. Kestler},
  title        = {Permutation-invariant linear classifiers},
  journal      = {Mach. Learn.},
  volume       = {113},
  number       = {10},
  pages        = {7195--7221},
  year         = {2024}
}
@article{DBLP:journals/qip/KhandelwalKASG24,
  author       = {Ankit Khandelwal and
                  Handy Kurniawan and
                  Shraddha Aangiras and
                  {\"{O}}zlem Salehi and
                  Adam Glos},
  title        = {Classification and transformations of quantum circuit decompositions
                  for permutation operations},
  journal      = {Quantum Inf. Process.},
  volume       = {23},
  number       = {9},
  pages        = {322},
  year         = {2024}
}
@article{DBLP:journals/siamdm/MiracleS24,
  author       = {Sarah Miracle and
                  Amanda Pascoe Streib},
  title        = {Rapid Mixing of {\textbackslash}(\{{\textbackslash}boldsymbol\{k\}\}{\textbackslash})-Class
                  Biased Permutations},
  journal      = {{SIAM} J. Discret. Math.},
  volume       = {38},
  number       = {1},
  pages        = {702--725},
  year         = {2024}
}
@inproceedings{DBLP:conf/aaai/LiaoW024,
  author       = {Minghui Liao and
                  Guojia Wan and
                  Bo Du},
  title        = {Joint Learning Neuronal Skeleton and Brain Circuit Topology with Permutation
                  Invariant Encoders for Neuron Classification},
  booktitle    = {{AAAI}},
  pages        = {197--205},
  publisher    = {{AAAI} Press},
  year         = {2024}
}
@inproceedings{DBLP:conf/eccv/JabbourKKSFW24,
  author       = {Sarah Jabbour and
                  Gregory Kondas and
                  Ella Kazerooni and
                  Michael W. Sjoding and
                  David Fouhey and
                  Jenna Wiens},
  title        = {{DEPICT:} Diffusion-Enabled Permutation Importance for Image Classification
                  Tasks},
  booktitle    = {{ECCV} {(64)}},
  series       = {Lecture Notes in Computer Science},
  volume       = {15122},
  pages        = {35--51},
  publisher    = {Springer},
  year         = {2024}
}
@inproceedings{DBLP:conf/issac/BlancoS24,
  author       = {Sa{\'{u}}l A. Blanco and
                  Daniel E. Skora},
  title        = {Enumerating polynomial colored permutation classes},
  booktitle    = {{ISSAC}},
  pages        = {283--291},
  publisher    = {{ACM}},
  year         = {2024}
}
@inproceedings{DBLP:conf/stacs/GuanHYY24,
  author       = {Ziyi Guan and
                  Yunqi Huang and
                  Penghui Yao and
                  Zekun Ye},
  title        = {Quantum and Classical Communication Complexity of Permutation-Invariant
                  Functions},
  booktitle    = {{STACS}},
  series       = {LIPIcs},
  volume       = {289},
  pages        = {39:1--39:19},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
  year         = {2024}
}
@inproceedings{DBLP:journals/corr/abs-2406-16403,
  author       = {Atli Fannar Frankl{\'{\i}}n and
                  Anders Claesson and
                  Christian Bean and
                  Henning {\'{U}}lfarsson and
                  Jay Pantone},
  title        = {Restricted Permutations Enumerated by Inversions},
  booktitle    = {GASCom},
  series       = {{EPTCS}},
  volume       = {403},
  pages        = {96--100},
  year         = {2024}
}
@article{DBLP:journals/corr/abs-2401-00454,
  author       = {Ziyi Guan and
                  Yunqi Huang and
                  Penghui Yao and
                  Zekun Ye},
  title        = {Quantum and Classical Communication Complexity of Permutation-Invariant
                  Functions},
  journal      = {CoRR},
  volume       = {abs/2401.00454},
  year         = {2024}
}
@article{DBLP:journals/corr/abs-2407-14509,
  author       = {Sarah Jabbour and
                  Gregory Kondas and
                  Ella Kazerooni and
                  Michael W. Sjoding and
                  David Fouhey and
                  Jenna Wiens},
  title        = {{DEPICT:} Diffusion-Enabled Permutation Importance for Image Classification
                  Tasks},
  journal      = {CoRR},
  volume       = {abs/2407.14509},
  year         = {2024}
}
@article{DBLP:journals/corr/abs-2408-13179,
  author       = {Fabrizio Maturo and
                  Annamaria Porreca},
  title        = {Augmented Functional Random Forests: Classifier Construction and Unbiased
                  Functional Principal Components Importance through Ad-Hoc Conditional
                  Permutations},
  journal      = {CoRR},
  volume       = {abs/2408.13179},
  year         = {2024}
}
@article{DBLP:journals/aaecc/SharmaMK23,
  author       = {Rajendra Kumar Sharma and
                  Prasanna Raghaw Mishra and
                  Yogesh Kumar},
  title        = {A new class of differential 4-uniform permutations from exponential
                  permutation},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {34},
  number       = {6},
  pages        = {897--912},
  year         = {2023}
}
@article{DBLP:journals/amco/LiY23,
  author       = {Zhen Li and
                  Haode Yan},
  title        = {Differential spectra of a class of power permutations with Niho exponents},
  journal      = {Adv. Math. Commun.},
  volume       = {17},
  number       = {6},
  pages        = {1468--1475},
  year         = {2023}
}
@article{DBLP:journals/ccds/RaiG23,
  author       = {Amritanshu Rai and
                  Rohit Gupta},
  title        = {Further results on a class of permutation trinomials},
  journal      = {Cryptogr. Commun.},
  volume       = {15},
  number       = {4},
  pages        = {811--820},
  year         = {2023}
}
@article{DBLP:journals/combinatorics/ClaessonFS23,
  author       = {Anders Claesson and
                  Atli Fannar Frankl{\'{\i}}n and
                  Einar Steingr{\'{\i}}msson},
  title        = {Permutations with Few Inversions},
  journal      = {Electron. J. Comb.},
  volume       = {30},
  number       = {4},
  year         = {2023}
}
@article{DBLP:journals/dcc/ZengZLX23,
  author       = {Dan Zeng and
                  Xiangyong Zeng and
                  Lisha Li and
                  Yunge Xu},
  title        = {The cycle structure of a class of permutation polynomials},
  journal      = {Des. Codes Cryptogr.},
  volume       = {91},
  number       = {4},
  pages        = {1373--1400},
  year         = {2023}
}
@article{DBLP:journals/dm/XieLXZT23,
  author       = {Xi Xie and
                  Nian Li and
                  Linjie Xu and
                  Xiangyong Zeng and
                  Xiaohu Tang},
  title        = {Two new classes of permutation trinomials over Fq3 with odd characteristic},
  journal      = {Discret. Math.},
  volume       = {346},
  number       = {12},
  pages        = {113607},
  year         = {2023}
}
@article{DBLP:journals/em/ClaessonGP23,
  author       = {Anders Claesson and
                  Bjarki {\'{A}}g{\'{u}}st Gu{\dh}mundsson and
                  Jay Pantone},
  title        = {Counting Pop-Stacked Permutations in Polynomial Time},
  journal      = {Exp. Math.},
  volume       = {32},
  number       = {1},
  pages        = {97--104},
  year         = {2023}
}
@article{DBLP:journals/es/LinZXXWJ23,
  author       = {Zhe Lin and
                  Zhiqiang Zhang and
                  Miao Xiao and
                  Zhijian Xiao and
                  Qichu Wang and
                  Qian Jiang},
  title        = {Application of permutation entropy and factorization network in the
                  classification of congenital heart disease},
  journal      = {Expert Syst. J. Knowl. Eng.},
  volume       = {40},
  number       = {4},
  year         = {2023}
}
@article{DBLP:journals/ffa/KimMKJ23,
  author       = {Kwang Ho Kim and
                  Sihem Mesnager and
                  Chung Hyok Kim and
                  Myong Chol Jo},
  title        = {Completely characterizing a class of permutation quadrinomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {87},
  pages        = {102155},
  year         = {2023}
}
@article{DBLP:journals/ffa/LiC23,
  author       = {Guanghui Li and
                  Xiwang Cao},
  title        = {Several classes of permutation polynomials over the finite field Fp2m},
  journal      = {Finite Fields Their Appl.},
  volume       = {89},
  pages        = {102197},
  year         = {2023}
}
@article{DBLP:journals/ffa/LiuCLZ23,
  author       = {Qian Liu and
                  Guifeng Chen and
                  Ximeng Liu and
                  Jian Zou},
  title        = {Several classes of permutation pentanomials with the form xrh(xpm-1)
                  over Fp2m},
  journal      = {Finite Fields Their Appl.},
  volume       = {92},
  pages        = {102307},
  year         = {2023}
}
@article{DBLP:journals/ffa/LiuHXLZ23,
  author       = {Qian Liu and
                  Zhiwei Huang and
                  Jianrui Xie and
                  Ximeng Liu and
                  Jian Zou},
  title        = {The \emph{c}-differential uniformity and boomerang uniformity of three
                  classes of permutation polynomials over F2n},
  journal      = {Finite Fields Their Appl.},
  volume       = {89},
  pages        = {102212},
  year         = {2023}
}
@article{DBLP:journals/ffa/MartinezGQ23,
  author       = {Fabio Enrique Brochero Mart{\'{\i}}nez and
                  Rohit Gupta and
                  Luciane Quoos},
  title        = {Classification of some permutation quadrinomials from self reciprocal
                  polynomials over F2n},
  journal      = {Finite Fields Their Appl.},
  volume       = {91},
  pages        = {102276},
  year         = {2023}
}
@article{DBLP:journals/ffa/ZhangZH23,
  author       = {Tongliang Zhang and
                  Lijing Zheng and
                  Xinghui Hao},
  title        = {More classes of permutation hexanomials and pentanomials over finite
                  fields with even characteristic},
  journal      = {Finite Fields Their Appl.},
  volume       = {91},
  pages        = {102250},
  year         = {2023}
}
@article{DBLP:journals/jimaging/QiMK23,
  author       = {Zheng Qi and
                  AprilPyone MaungMaung and
                  Hitoshi Kiya},
  title        = {Privacy-Preserving Image Classification Using ConvMixer with Adaptative
                  Permutation Matrix and Block-Wise Scrambled Image Encryption},
  journal      = {J. Imaging},
  volume       = {9},
  number       = {4},
  pages        = {85},
  year         = {2023}
}
@article{DBLP:journals/tit/YanMT23,
  author       = {Haode Yan and
                  Sihem Mesnager and
                  Xiantong Tan},
  title        = {The Complete Differential Spectrum of a Class of Power Permutations
                  Over Odd Characteristic Finite Fields},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {69},
  number       = {11},
  pages        = {7426--7438},
  year         = {2023}
}
@inproceedings{DBLP:conf/dasc/LiuDCLX23,
  author       = {Qian Liu and
                  Xiaobei Dong and
                  Zhixiong Chen and
                  Ximeng Liu and
                  Li Xu},
  title        = {Some Classes of Cryptographic Power Functions and Permutation Polynomials
                  with Low (-1)-Differential Uniformity in Cyber Security},
  booktitle    = {DASC/PiCom/CBDCom/CyberSciTech},
  pages        = {109--115},
  publisher    = {{IEEE}},
  year         = {2023}
}
@inproceedings{DBLP:conf/issac/BlancoS23,
  author       = {Sa{\'{u}}l A. Blanco and
                  Daniel E. Skora},
  title        = {An Algorithm to Enumerate Grid Signed Permutation Classes},
  booktitle    = {{ISSAC}},
  pages        = {61--69},
  publisher    = {{ACM}},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2302-03929,
  author       = {Sa{\'{u}}l A. Blanco and
                  Daniel E. Skora},
  title        = {An Algorithm to Enumerate Grid Signed Permutation Classes},
  journal      = {CoRR},
  volume       = {abs/2302.03929},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2306-07795,
  author       = {Mathis Bouverot{-}Dupuis and
                  Mary Sheeran},
  title        = {Efficient {GPU} implementation of a class of array permutations},
  journal      = {CoRR},
  volume       = {abs/2306.07795},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2312-14518,
  author       = {Minghui Liao and
                  Guojia Wan and
                  Bo Du},
  title        = {Joint Learning Neuronal Skeleton and Brain Circuit Topology with Permutation
                  Invariant Encoders for Neuron Classification},
  journal      = {CoRR},
  volume       = {abs/2312.14518},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2312-16908,
  author       = {Yi Li and
                  Xiutao Feng and
                  Qiang Wang},
  title        = {A classification of permutation binomials of the form x\({}^{\mbox{i}}\)+ax
                  over \{F\({}_{\mbox{2\({}^{\mbox{n}}\)}}\) for dimensions up to 8},
  journal      = {CoRR},
  volume       = {abs/2312.16908},
  year         = {2023}
}
@article{DBLP:journals/aaecc/WuY22,
  author       = {Danyao Wu and
                  Pingzhi Yuan},
  title        = {Some classes of permutation polynomials of the form {\textdollar}b(xq+ax+{\textbackslash}delta
                  )\{{\textbackslash}frac\{i(q2-1)\}\{d\}+1\}+c(xq+ax+{\textbackslash}delta
                  )\{{\textbackslash}frac\{j(q2-1)\}\{d\}+1\}+L(x){\textdollar} over
                  {\textdollar} \{\{\{{\textbackslash}mathbb \{F\}\}\}\}{\_}\{q2\}{\textdollar}},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {33},
  number       = {2},
  pages        = {135--149},
  year         = {2022}
}
@article{DBLP:journals/aaecc/WuY22a,
  author       = {Danyao Wu and
                  Pingzhi Yuan},
  title        = {Correction to: Some classes of permutation polynomials of the form
                  {\textdollar}b(xq+ax+{\textbackslash}delta )\{{\textbackslash}frac\{i(q2-1)\}\{d\}+1\}+c(xq+ax+{\textbackslash}delta
                  )\{{\textbackslash}frac\{j(q2-1)\}\{d\}+1\}+L(x){\textdollar} over
                  {\unicode{54589}}\({}_{\mbox{q\({}^{\mbox{2}}\)}}\)},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {33},
  number       = {2},
  pages        = {151--152},
  year         = {2022}
}
@article{DBLP:journals/ajc/MansourS22,
  author       = {Toufik Mansour and
                  Mark Shattuck},
  title        = {On a question of Li concerning an uncounted class of circular permutations},
  journal      = {Australas. {J} Comb.},
  volume       = {83},
  pages        = {176--195},
  year         = {2022}
}
@article{DBLP:journals/ccds/KudinPCZ22,
  author       = {Sadmir Kudin and
                  Enes Pasalic and
                  Nastja Cepak and
                  Fengrong Zhang},
  title        = {Permutations without linear structures inducing bent functions outside
                  the completed Maiorana-McFarland class},
  journal      = {Cryptogr. Commun.},
  volume       = {14},
  number       = {1},
  pages        = {101--116},
  year         = {2022}
}
@article{DBLP:journals/combinatorics/ClisbyCGI22,
  author       = {Nathan Clisby and
                  Andrew R. Conway and
                  Anthony J. Guttmann and
                  Yuma Inoue},
  title        = {Classical Length-5 Pattern-Avoiding Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {29},
  number       = {3},
  year         = {2022}
}
@article{DBLP:journals/cys/FigueroaCV22,
  author       = {Karina Figueroa and
                  Antonio Camarena{-}Ibarrola and
                  Luis Valero},
  title        = {Permutation Based Algorithm Improved by Classes for Similarity Searching},
  journal      = {Computaci{\'{o}}n y Sistemas},
  volume       = {26},
  number       = {1},
  year         = {2022}
}
@article{DBLP:journals/dcc/OzbudakT22,
  author       = {Ferruh {\"{O}}zbudak and
                  Burcu G{\"{u}}lmez Tem{\"{u}}r},
  title        = {Classification of permutation polynomials of the form x\({}^{\mbox{3g(x\({}^{\mbox{q-1}}\))}}\)
                  of {\unicode{54589}}\({}_{\mbox{q\({}^{\mbox{2}}\)}}\) where g(x)=x\({}^{\mbox{3+bx+c}}\)
                  and {\textdollar}b, c {\textbackslash}in \{{\textbackslash}mathbb
                  F\}{\_}q*{\textdollar}},
  journal      = {Des. Codes Cryptogr.},
  volume       = {90},
  number       = {7},
  pages        = {1537--1556},
  year         = {2022}
}
@article{DBLP:journals/dm/WuWLZT22,
  author       = {Yanan Wu and
                  Lisha Wang and
                  Nian Li and
                  Xiangyong Zeng and
                  Xiaohu Tang},
  title        = {On the boomerang uniformity of a class of permutation quadrinomials
                  over finite fields},
  journal      = {Discret. Math.},
  volume       = {345},
  number       = {10},
  pages        = {113000},
  year         = {2022}
}
@article{DBLP:journals/ejc/GutierresMS22,
  author       = {Gon{\c{c}}alo Gutierres and
                  Ricardo Mamede and
                  Jos{\'{e}} Lu{\'{\i}}s Santos},
  title        = {Diameter of the commutation classes graph of a permutation},
  journal      = {Eur. J. Comb.},
  volume       = {103},
  pages        = {103525},
  year         = {2022}
}
@article{DBLP:journals/eswa/RajabiASF22,
  author       = {Saeed Rajabi and
                  Mehdi Saman Azari and
                  Stefania Santini and
                  Francesco Flammini},
  title        = {Fault diagnosis in industrial rotating equipment based on permutation
                  entropy, signal processing and multi-output neuro-fuzzy classifier},
  journal      = {Expert Syst. Appl.},
  volume       = {206},
  pages        = {117754},
  year         = {2022}
}
@article{DBLP:journals/ffa/Gologlu22,
  author       = {Faruk G{\"{o}}loglu},
  title        = {Classification of fractional projective permutations over finite fields},
  journal      = {Finite Fields Their Appl.},
  volume       = {81},
  pages        = {102027},
  year         = {2022}
}
@article{DBLP:journals/ffa/GuptaGS22,
  author       = {Rohit Gupta and
                  Pooja Gahlyan and
                  R. K. Sharma},
  title        = {New classes of permutation trinomials over Fq3},
  journal      = {Finite Fields Their Appl.},
  volume       = {84},
  pages        = {102110},
  year         = {2022}
}
@article{DBLP:journals/ffa/Liu22,
  author       = {Xiaogang Liu},
  title        = {Necessary and sufficient conditions of two classes of permutation
                  polynomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {77},
  pages        = {101949},
  year         = {2022}
}
@article{DBLP:journals/ffa/XuLC22,
  author       = {Guangkui Xu and
                  Gaojun Luo and
                  Xiwang Cao},
  title        = {Several classes of permutation polynomials of the form (xpm-x+{\(\delta\)})s+x
                  over Fp2m},
  journal      = {Finite Fields Their Appl.},
  volume       = {79},
  pages        = {102001},
  year         = {2022}
}
@article{DBLP:journals/ffa/ZhengLKPT22,
  author       = {Lijing Zheng and
                  Baixiang Liu and
                  Haibin Kan and
                  Jie Peng and
                  Deng Tang},
  title        = {More classes of permutation quadrinomials from Niho exponents in characteristic
                  two},
  journal      = {Finite Fields Their Appl.},
  volume       = {78},
  pages        = {101962},
  year         = {2022}
}
@article{DBLP:journals/qip/AnjaliRSDKMD22,
  author       = {K. Anjali and
                  I. Reena and
                  Sudha and
                  B. G. Divyamani and
                  H. S. Karthik and
                  K. S. Mallesh and
                  A. R. Usha Devi},
  title        = {Geometric picture for {SLOCC} classification of pure permutation symmetric
                  three-qubit states},
  journal      = {Quantum Inf. Process.},
  volume       = {21},
  number       = {9},
  pages        = {326},
  year         = {2022}
}
@article{DBLP:journals/siamdm/AlecuFKLVZ22,
  author       = {Bogdan Alecu and
                  Robert Ferguson and
                  Mamadou Moustapha Kant{\'{e}} and
                  Vadim V. Lozin and
                  Vincent Vatter and
                  Victor Zamaraev},
  title        = {Letter Graphs and Geometric Grid Classes of Permutations},
  journal      = {{SIAM} J. Discret. Math.},
  volume       = {36},
  number       = {4},
  pages        = {2774--2797},
  year         = {2022}
}
@article{DBLP:journals/tit/HasanPS22,
  author       = {Sartaj Ul Hasan and
                  Mohit Pal and
                  Pantelimon Stanica},
  title        = {The c-Differential Uniformity and Boomerang Uniformity of Two Classes
                  of Permutation Polynomials},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {68},
  number       = {1},
  pages        = {679--691},
  year         = {2022}
}
@inproceedings{DBLP:conf/gcce/QiMK22,
  author       = {Zheng Qi and
                  AprilPyone MaungMaung and
                  Hitoshi Kiya},
  title        = {Privacy-Preserving Image Classification Using ConvMixer with Adaptive
                  Permutation Matrix},
  booktitle    = {{GCCE}},
  pages        = {148--151},
  publisher    = {{IEEE}},
  year         = {2022}
}
@inproceedings{DBLP:conf/icassp/ShimadaKTTTM22,
  author       = {Kazuki Shimada and
                  Yuichiro Koyama and
                  Shusuke Takahashi and
                  Naoya Takahashi and
                  Emiru Tsunoo and
                  Yuki Mitsufuji},
  title        = {Multi-ACCDOA: Localizing And Detecting Overlapping Sounds From The
                  Same Class With Auxiliary Duplicating Permutation Invariant Training},
  booktitle    = {{ICASSP}},
  pages        = {316--320},
  publisher    = {{IEEE}},
  year         = {2022}
}
@inproceedings{DBLP:conf/nips/Ni22,
  author       = {Yang Ni},
  title        = {Bivariate Causal Discovery for Categorical Data via Classification
                  with Optimal Label Permutation},
  booktitle    = {NeurIPS},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2203-04216,
  author       = {Zhiguo Ding and
                  Michael E. Zieve},
  title        = {Determination of a class of permutation quadrinomials},
  journal      = {CoRR},
  volume       = {abs/2203.04216},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2208-01004,
  author       = {Mohit Pal},
  title        = {Some new classes of (almost) perfect c-nonlinear permutations},
  journal      = {CoRR},
  volume       = {abs/2208.01004},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2208-02556,
  author       = {Zheng Qi and
                  AprilPyone MaungMaung and
                  Hitoshi Kiya},
  title        = {Privacy-Preserving Image Classification Using ConvMixer with Adaptive
                  Permutation Matrix},
  journal      = {CoRR},
  volume       = {abs/2208.02556},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2209-08579,
  author       = {Yang Ni},
  title        = {Bivariate Causal Discovery for Categorical Data via Classification
                  with Optimal Label Permutation},
  journal      = {CoRR},
  volume       = {abs/2209.08579},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2212-01931,
  author       = {Kirpa Garg and
                  Sartaj Ul Hasan and
                  Pantelimon Stanica},
  title        = {Several classes of permutation polynomials and their differential
                  uniformity properties},
  journal      = {CoRR},
  volume       = {abs/2212.01931},
  year         = {2022}
}
@article{DBLP:journals/iacr/LiuHXLZ22,
  author       = {Qian Liu and
                  Zhiwei Huang and
                  Jianrui Xie and
                  Ximeng Liu and
                  Jian Zou},
  title        = {The c-differential uniformity and boomerang uniformity of three classes
                  of permutation polynomials over {\unicode{54589}}\({}_{\mbox{2\({}^{\mbox{n}}\)}}\)},
  journal      = {{IACR} Cryptol. ePrint Arch.},
  pages        = {664},
  year         = {2022}
}
@article{DBLP:journals/iacr/XieLXZT22,
  author       = {Xi Xie and
                  Nian Li and
                  Linjie Xu and
                  Xiangyong Zeng and
                  Xiaohu Tang},
  title        = {Two new classes of permutation trinomials over {\unicode{54589}}\({}_{\mbox{q\({}^{\mbox{3}}\)}}\)
                  with odd characteristic},
  journal      = {{IACR} Cryptol. ePrint Arch.},
  pages        = {485},
  year         = {2022}
}
@article{DBLP:journals/aaecc/Rodrigues21,
  author       = {Bernardo Gabriel Rodrigues},
  title        = {On the classification of binary self-dual codes admitting imprimitive
                  rank 3 permutation groups},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {32},
  number       = {2},
  pages        = {113--134},
  year         = {2021}
}
@article{DBLP:journals/cg/WangCLT21,
  author       = {Yechao Wang and
                  Jinming Cao and
                  Yangyan Li and
                  Changhe Tu},
  title        = {{APM:} Adaptive permutation module for point cloud classification},
  journal      = {Comput. Graph.},
  volume       = {97},
  pages        = {217--224},
  year         = {2021}
}
@article{DBLP:journals/dam/Cepak21,
  author       = {Nastja Cepak},
  title        = {Infinite classes of generalised complete permutations},
  journal      = {Discret. Appl. Math.},
  volume       = {302},
  pages        = {24--33},
  year         = {2021}
}
@article{DBLP:journals/dcc/YanL21,
  author       = {Haode Yan and
                  Chengju Li},
  title        = {Differential spectra of a class of power permutations with characteristic
                  5},
  journal      = {Des. Codes Cryptogr.},
  volume       = {89},
  number       = {6},
  pages        = {1181--1191},
  year         = {2021}
}
@article{DBLP:journals/dm/Zhang21,
  author       = {Rachel Yun Zhang},
  title        = {The relation between composability and splittability of permutation
                  classes},
  journal      = {Discret. Math.},
  volume       = {344},
  number       = {4},
  pages        = {112271},
  year         = {2021}
}
@article{DBLP:journals/dmtcs/Archer21,
  author       = {Kassie Archer},
  title        = {Enumerating two permutation classes by the number of cycles},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {22},
  number       = {2},
  year         = {2021}
}
@article{DBLP:journals/dmtcs/BeanNU21,
  author       = {Christian Bean and
                  {\'{E}}mile Nadeau and
                  Henning {\'{U}}lfarsson},
  title        = {Enumeration of Permutation Classes and Weighted Labelled Independent
                  Sets},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {22},
  number       = {2},
  year         = {2021}
}
@article{DBLP:journals/dmtcs/Braunfeld21,
  author       = {Samuel Braunfeld},
  title        = {The undecidability of joint embedding for 3-dimensional permutation
                  classes},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {22},
  number       = {2},
  year         = {2021}
}
@article{DBLP:journals/entropy/ZhangLG21,
  author       = {Yi Zhang and
                  Yong Lv and
                  Mao Ge},
  title        = {A Rolling Bearing Fault Classification Scheme Based on k-Optimized
                  Adaptive Local Iterative Filtering and Improved Multiscale Permutation
                  Entropy},
  journal      = {Entropy},
  volume       = {23},
  number       = {2},
  pages        = {191},
  year         = {2021}
}
@article{DBLP:journals/ffa/LiWXZ21,
  author       = {Lisha Li and
                  Qiang Wang and
                  Yunge Xu and
                  Xiangyong Zeng},
  title        = {Several classes of complete permutation polynomials with Niho exponents},
  journal      = {Finite Fields Their Appl.},
  volume       = {72},
  pages        = {101831},
  year         = {2021}
}
@article{DBLP:journals/ffa/ZhengKPT21,
  author       = {Lijing Zheng and
                  Haibin Kan and
                  Jie Peng and
                  Deng Tang},
  title        = {Two classes of permutation trinomials with Niho exponents},
  journal      = {Finite Fields Their Appl.},
  volume       = {70},
  pages        = {101790},
  year         = {2021}
}
@article{DBLP:journals/tib/FayaziFS21,
  author       = {Fariba Fayazi and
                  Elena Fimmel and
                  Lutz Str{\"{u}}ngmann},
  title        = {Equivalence classes of circular codes induced by permutation groups},
  journal      = {Theory Biosci.},
  volume       = {140},
  number       = {1},
  pages        = {107--121},
  year         = {2021}
}
@article{DBLP:journals/tit/WangH21,
  author       = {Kun Wang and
                  Masahito Hayashi},
  title        = {Permutation Enhances Classical Communication Assisted by Entangled
                  States},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {67},
  number       = {6},
  pages        = {3905--3925},
  year         = {2021}
}
@inproceedings{DBLP:conf/biocas/QiaoLWXYW21,
  author       = {Xiaohao Qiao and
                  Huihui Li and
                  Bo Wang and
                  Fuhai Xiong and
                  Yan Yan and
                  Lei Wang},
  title        = {Research on Classification of Patient-ventilator Asynchrony Using
                  Permutation Disalignment Index},
  booktitle    = {BioCAS},
  pages        = {1--5},
  publisher    = {{IEEE}},
  year         = {2021}
}
@inproceedings{DBLP:conf/ispec/YeWLP21,
  author       = {Tao Ye and
                  Yongzhuang Wei and
                  Lingcheng Li and
                  Enes Pasalic},
  title        = {Impossible Differential Cryptanalysis and Integral Cryptanalysis of
                  the ACE-Class Permutation},
  booktitle    = {{ISPEC}},
  series       = {Lecture Notes in Computer Science},
  volume       = {13107},
  pages        = {306--326},
  publisher    = {Springer},
  year         = {2021}
}
@article{DBLP:journals/corr/abs-2110-07124,
  author       = {Kazuki Shimada and
                  Yuichiro Koyama and
                  Shusuke Takahashi and
                  Naoya Takahashi and
                  Emiru Tsunoo and
                  Yuki Mitsufuji},
  title        = {Multi-ACCDOA: Localizing and Detecting Overlapping Sounds from the
                  Same Class with Auxiliary Duplicating Permutation Invariant Training},
  journal      = {CoRR},
  volume       = {abs/2110.07124},
  year         = {2021}
}
@article{DBLP:journals/access/GuoLWQ20,
  author       = {Zijian Guo and
                  Mingliang Liu and
                  Yunxia Wang and
                  Huabin Qin},
  title        = {A New Fault Diagnosis Classifier for Rolling Bearing United Multi-Scale
                  Permutation Entropy Optimize {VMD} and Cuckoo Search {SVM}},
  journal      = {{IEEE} Access},
  volume       = {8},
  pages        = {153610--153629},
  year         = {2020}
}
@article{DBLP:journals/access/KimHSH20,
  author       = {Seong Gyeom Kim and
                  Deukjo Hong and
                  Jaechul Sung and
                  Seokhie Hong},
  title        = {Classification of 4-bit S-Boxes for {BOGI} Permutation},
  journal      = {{IEEE} Access},
  volume       = {8},
  pages        = {210935--210949},
  year         = {2020}
}
@article{DBLP:journals/amco/XuQ20,
  author       = {Guangkui Xu and
                  Longjiang Qu},
  title        = {Two classes of differentially 4-uniform permutations over {\unicode{54589}}\({}_{\mbox{2\({}^{\mbox{n}}\)}}\)
                  with n even},
  journal      = {Adv. Math. Commun.},
  volume       = {14},
  number       = {1},
  pages        = {97--110},
  year         = {2020}
}
@article{DBLP:journals/combinatorics/BraunfeldS20,
  author       = {Samuel Braunfeld and
                  Pierre Simon},
  title        = {The Classification of Homogeneous Finite-Dimensional Permutation Structures},
  journal      = {Electron. J. Comb.},
  volume       = {27},
  number       = {1},
  pages        = {1},
  year         = {2020}
}
@article{DBLP:journals/dam/AlecuLWZ20,
  author       = {Bogdan Alecu and
                  Vadim V. Lozin and
                  Dominique de Werra and
                  Viktor Zamaraev},
  title        = {Letter graphs and geometric grid classes of permutations: Characterization
                  and recognition},
  journal      = {Discret. Appl. Math.},
  volume       = {283},
  pages        = {482--494},
  year         = {2020}
}
@article{DBLP:journals/datamine/HabibiSL20,
  author       = {Maryam Habibi and
                  Johannes Starlinger and
                  Ulf Leser},
  title        = {DeepTable: a permutation invariant neural network for table orientation
                  classification},
  journal      = {Data Min. Knowl. Discov.},
  volume       = {34},
  number       = {6},
  pages        = {1963--1983},
  year         = {2020}
}
@article{DBLP:journals/dcc/FerragutiM20,
  author       = {Andrea Ferraguti and
                  Giacomo Micheli},
  title        = {Full classification of permutation rational functions and complete
                  rational functions of degree three over finite fields},
  journal      = {Des. Codes Cryptogr.},
  volume       = {88},
  number       = {5},
  pages        = {867--886},
  year         = {2020}
}
@article{DBLP:journals/ejc/Bona20,
  author       = {Mikl{\'{o}}s B{\'{o}}na},
  title        = {Supercritical sequences, and the nonrationality of most principal
                  permutation classes},
  journal      = {Eur. J. Comb.},
  volume       = {83},
  year         = {2020}
}
@article{DBLP:journals/entropy/DuGWWYLWWGZSXY20,
  author       = {Wenhua Du and
                  Xiaoming Guo and
                  Zhijian Wang and
                  Junyuan Wang and
                  Mingrang Yu and
                  Chuanjiang Li and
                  Guanjun Wang and
                  Longjuan Wang and
                  Huaichao Guo and
                  Jinjie Zhou and
                  Yanjun Shao and
                  Huiling Xue and
                  Xingyan Yao},
  title        = {A New Fuzzy Logic Classifier Based on Multiscale Permutation Entropy
                  and Its Application in Bearing Fault Diagnosis},
  journal      = {Entropy},
  volume       = {22},
  number       = {1},
  pages        = {27},
  year         = {2020}
}
@article{DBLP:journals/ffa/HouTZ20,
  author       = {Xiang{-}dong Hou and
                  Ziran Tu and
                  Xiangyong Zeng},
  title        = {Determination of a class of permutation trinomials in characteristic
                  three},
  journal      = {Finite Fields Their Appl.},
  volume       = {61},
  year         = {2020}
}
@article{DBLP:journals/ffa/KalayciST20,
  author       = {Tekg{\"{u}}l Kalayci and
                  Henning Stichtenoth and
                  Alev Topuzoglu},
  title        = {Irreducible factors of a class of permutation polynomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {63},
  pages        = {101647},
  year         = {2020}
}
@article{DBLP:journals/ffa/LiQLC20,
  author       = {Kangquan Li and
                  Longjiang Qu and
                  Chao Li and
                  Hao Chen},
  title        = {On a conjecture about a class of permutation quadrinomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {66},
  pages        = {101690},
  year         = {2020}
}
@article{DBLP:journals/ffa/LiQZ20,
  author       = {Kangquan Li and
                  Longjiang Qu and
                  Yue Zhou},
  title        = {A link between two classes of permutation polynomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {63},
  pages        = {101641},
  year         = {2020}
}
@article{DBLP:journals/ffa/TuZMZ20,
  author       = {Ziran Tu and
                  Xiangyong Zeng and
                  Jinxiu Mao and
                  Junchao Zhou},
  title        = {Several classes of complete permutation polynomials over finite fields
                  of even characteristic},
  journal      = {Finite Fields Their Appl.},
  volume       = {68},
  pages        = {101737},
  year         = {2020}
}
@article{DBLP:journals/ffa/ZhengKP20,
  author       = {Lijing Zheng and
                  Haibin Kan and
                  Jie Peng},
  title        = {Two classes of permutation trinomials with Niho exponents over finite
                  fields with even characteristic},
  journal      = {Finite Fields Their Appl.},
  volume       = {68},
  pages        = {101754},
  year         = {2020}
}
@article{DBLP:journals/fgcs/XiaoYLGLW20,
  author       = {Feiyun Xiao and
                  Decai Yang and
                  Zhongming Lv and
                  Xiaohui Guo and
                  Zhengshi Liu and
                  Yong Wang},
  title        = {Classification of hand movements using variational mode decomposition
                  and composite permutation entropy index with surface electromyogram
                  signals},
  journal      = {Future Gener. Comput. Syst.},
  volume       = {110},
  pages        = {1023--1036},
  year         = {2020}
}
@article{DBLP:journals/ijon/ChangJ20,
  author       = {Yakun Chang and
                  Cheolkon Jung},
  title        = {Automatic cardiac {MRI} segmentation and permutation-invariant pathology
                  classification using deep neural networks and point clouds},
  journal      = {Neurocomputing},
  volume       = {418},
  pages        = {270--279},
  year         = {2020}
}
@article{DBLP:journals/tcs/BarilV20,
  author       = {Jean{-}Luc Baril and
                  Vincent Vajnovszki},
  title        = {Popularity of patterns over \emph{d}-equivalence classes of words
                  and permutations},
  journal      = {Theor. Comput. Sci.},
  volume       = {814},
  pages        = {249--258},
  year         = {2020}
}
@article{DBLP:journals/tcs/PaoliniPR20,
  author       = {Luca Paolini and
                  Mauro Piccolo and
                  Luca Roversi},
  title        = {A class of Recursive Permutations which is Primitive Recursive complete},
  journal      = {Theor. Comput. Sci.},
  volume       = {813},
  pages        = {218--233},
  year         = {2020}
}
@article{DBLP:journals/tds/ShahHNAAA20,
  author       = {Syed Ahsin Ali Shah and
                  Nazneen Habib and
                  Malik Sajjad Ahmed Nadeem and
                  Abdulrahman A. Alshdadi and
                  Mohammed A. Alqarni and
                  Wajid Aziz},
  title        = {Extraction of Dynamical Information and Classification of Heart Rate
                  Variability Signals Using Scale Based Permutation Entropy Measures},
  journal      = {Traitement du Signal},
  volume       = {37},
  number       = {3},
  pages        = {355--365},
  year         = {2020}
}
@article{DBLP:journals/tit/TuLZZ20,
  author       = {Ziran Tu and
                  Nian Li and
                  Xiangyong Zeng and
                  Junchao Zhou},
  title        = {A Class of Quadrinomial Permutations With Boomerang Uniformity Four},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {66},
  number       = {6},
  pages        = {3753--3765},
  year         = {2020}
}
@inproceedings{DBLP:conf/isit/WangH20,
  author       = {Kun Wang and
                  Masahito Hayashi},
  title        = {Permutation Enhances Classical Communication Assisted by Entangled
                  States},
  booktitle    = {{ISIT}},
  pages        = {1840--1845},
  publisher    = {{IEEE}},
  year         = {2020}
}
@inproceedings{DBLP:conf/mfcs/JelinekOP20,
  author       = {V{\'{\i}}t Jel{\'{\i}}nek and
                  Michal Opler and
                  Jakub Pek{\'{a}}rek},
  title        = {A Complexity Dichotomy for Permutation Pattern Matching on Grid Classes},
  booktitle    = {{MFCS}},
  series       = {LIPIcs},
  volume       = {170},
  pages        = {52:1--52:18},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
  year         = {2020}
}
@article{DBLP:journals/corr/abs-2001-01845,
  author       = {Kun Wang and
                  Masahito Hayashi},
  title        = {Permutation Enhances Classical Communication Assisted by Entangled
                  States},
  journal      = {CoRR},
  volume       = {abs/2001.01845},
  year         = {2020}
}
@article{DBLP:journals/corr/abs-2008-04593,
  author       = {V{\'{\i}}t Jel{\'{\i}}nek and
                  Michal Opler and
                  Jakub Pek{\'{a}}rek},
  title        = {A Complexity Dichotomy for Permutation Pattern Matching on Grid Classes},
  journal      = {CoRR},
  volume       = {abs/2008.04593},
  year         = {2020}
}
@article{DBLP:journals/corr/abs-2011-01243,
  author       = {Keming Zhang and
                  Joshua S. Bloom},
  title        = {Classification of Periodic Variable Stars with Novel Cyclic-Permutation
                  Invariant Neural Networks},
  journal      = {CoRR},
  volume       = {abs/2011.01243},
  year         = {2020}
}
@article{DBLP:journals/iacr/KimHSH20,
  author       = {Seong Gyeom Kim and
                  Deukjo Hong and
                  Jaechul Sung and
                  Seokhie Hong},
  title        = {Classification of 4-bit S-boxes for BOGI-permutation},
  journal      = {{IACR} Cryptol. ePrint Arch.},
  pages        = {397},
  year         = {2020}
}
@article{DBLP:journals/aam/ClaessonG19,
  author       = {Anders Claesson and
                  Bjarki {\'{A}}g{\'{u}}st Gu{\dh}mundsson},
  title        = {Enumerating permutations sortable by \emph{k} passes through a pop-stack},
  journal      = {Adv. Appl. Math.},
  volume       = {108},
  pages        = {79--96},
  year         = {2019}
}
@article{DBLP:journals/ajc/AlbertL19,
  author       = {Michael Albert and
                  Jinge Li},
  title        = {Wilf-collapse in permutation classes having two basis elements of
                  size three},
  journal      = {Australas. {J} Comb.},
  volume       = {73},
  pages        = {440--455},
  year         = {2019}
}
@article{DBLP:journals/ajc/Troyka19,
  author       = {Justin M. Troyka},
  title        = {On the centrosymmetric permutations in a class},
  journal      = {Australas. {J} Comb.},
  volume       = {74},
  pages        = {423--442},
  year         = {2019}
}
@article{DBLP:journals/ccds/CepakPM19,
  author       = {Nastja Cepak and
                  Enes Pasalic and
                  Amela Muratovic{-}Ribic},
  title        = {Frobenius linear translators giving rise to new infinite classes of
                  permutations and bent functions},
  journal      = {Cryptogr. Commun.},
  volume       = {11},
  number       = {6},
  pages        = {1275--1295},
  year         = {2019}
}
@article{DBLP:journals/ccds/DengZ19,
  author       = {Huali Deng and
                  Dabin Zheng},
  title        = {More classes of permutation trinomials with Niho exponents},
  journal      = {Cryptogr. Commun.},
  volume       = {11},
  number       = {2},
  pages        = {227--236},
  year         = {2019}
}
@article{DBLP:journals/ccds/Hou19,
  author       = {Xiang{-}dong Hou},
  title        = {On a class of permutation trinomials in characteristic 2},
  journal      = {Cryptogr. Commun.},
  volume       = {11},
  number       = {6},
  pages        = {1199--1210},
  year         = {2019}
}
@article{DBLP:journals/ccds/TuZ19,
  author       = {Ziran Tu and
                  Xiangyong Zeng},
  title        = {A class of permutation trinomials over finite fields of odd characteristic},
  journal      = {Cryptogr. Commun.},
  volume       = {11},
  number       = {4},
  pages        = {563--583},
  year         = {2019}
}
@article{DBLP:journals/ccds/WuL19,
  author       = {Gaofei Wu and
                  Nian Li},
  title        = {Several classes of permutation trinomials over {\(\mathbb{F}\)}\({}_{\mbox{5\({}^{\mbox{n}}\)}}\)
                  from Niho exponents},
  journal      = {Cryptogr. Commun.},
  volume       = {11},
  number       = {2},
  pages        = {313--324},
  year         = {2019}
}
@article{DBLP:journals/combinatorics/BrignallS19,
  author       = {Robert Brignall and
                  Jakub Sliacan},
  title        = {Combinatorial Specifications for Juxtapositions of Permutation Classes},
  journal      = {Electron. J. Comb.},
  volume       = {26},
  number       = {4},
  pages        = {4},
  year         = {2019}
}
@article{DBLP:journals/combinatorics/Karpilovskij19,
  author       = {Mark Karpilovskij},
  title        = {Composability of Permutation Classes},
  journal      = {Electron. J. Comb.},
  volume       = {26},
  number       = {1},
  pages        = {1},
  year         = {2019}
}
@article{DBLP:journals/dmtcs/MichosS19,
  author       = {Ioannis Michos and
                  Christina Savvidou},
  title        = {Enumeration of super-strong Wilf equivalence classes of permutations
                  in the generalized factor order},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {21},
  number       = {2},
  year         = {2019}
}
@article{DBLP:journals/entropy/OzA19,
  author       = {Ersoy {\"{O}}z and
                  {\"{O}}yk{\"{u}}m Esra Askin},
  title        = {Classification of Hepatitis Viruses from Sequencing Chromatograms
                  Using Multiscale Permutation Entropy and Support Vector Machines},
  journal      = {Entropy},
  volume       = {21},
  number       = {12},
  pages        = {1149},
  year         = {2019}
}
@article{DBLP:journals/ffa/Fan19,
  author       = {Xiang Fan},
  title        = {A classification of permutation polynomials of degree 7 over finite
                  fields},
  journal      = {Finite Fields Their Appl.},
  volume       = {59},
  pages        = {1--21},
  year         = {2019}
}
@article{DBLP:journals/ffa/LiLLZ19,
  author       = {Lisha Li and
                  Chaoyun Li and
                  Chunlei Li and
                  Xiangyong Zeng},
  title        = {New classes of complete permutation polynomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {55},
  pages        = {177--201},
  year         = {2019}
}
@article{DBLP:journals/ffa/TuLZ19,
  author       = {Ziran Tu and
                  Xianping Liu and
                  Xiangyong Zeng},
  title        = {A revisit to a class of permutation quadrinomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {59},
  pages        = {57--85},
  year         = {2019}
}
@article{DBLP:journals/ieicet/LeeEC19,
  author       = {Bumshik Lee and
                  Waqas Ellahi and
                  Jae Young Choi},
  title        = {Using Deep {CNN} with Data Permutation Scheme for Classification of
                  Alzheimer's Disease in Structural Magnetic Resonance Imaging (sMRI)},
  journal      = {{IEICE} Trans. Inf. Syst.},
  volume       = {102-D},
  number       = {7},
  pages        = {1384--1395},
  year         = {2019}
}
@article{DBLP:journals/moc/BeanGU19,
  author       = {Christian Bean and
                  Bjarki Agust Gudmundsson and
                  Henning {\'{U}}lfarsson},
  title        = {Automatic discovery of structural rules of permutation classes},
  journal      = {Math. Comput.},
  volume       = {88},
  number       = {318},
  pages        = {1967--1990},
  year         = {2019}
}
@article{DBLP:journals/symmetry/GatesIKKS19,
  author       = {Sylvester James Gates Jr. and
                  Kevin Iga and
                  Lucas Kang and
                  Vadim Korotkikh and
                  Kory Stiffler},
  title        = {Generating All 36, 864 Four-Color Adinkras via Signed Permutations
                  and Organizing into \emph{{\(\mathscr{l}\)}}- and {\(\mathscr{l}\)}
                  {\texttildelow} -Equivalence Classes},
  journal      = {Symmetry},
  volume       = {11},
  number       = {1},
  pages        = {120},
  year         = {2019}
}
@inproceedings{DBLP:conf/bionetics/Cicirello19,
  author       = {Vincent A. Cicirello},
  title        = {Classification of Permutation Distance Metrics for Fitness Landscape
                  Analysis},
  booktitle    = {{BICT}},
  series       = {Lecture Notes of the Institute for Computer Sciences, Social Informatics
                  and Telecommunications Engineering},
  volume       = {289},
  pages        = {81--97},
  publisher    = {Springer},
  year         = {2019}
}
@inproceedings{DBLP:conf/icip/BenjilaliGJS19,
  author       = {Wissam Benjilali and
                  William Guicquero and
                  Laurent Jacques and
                  Gilles Sicard},
  title        = {Hardware-Friendly Compressive Imaging Based on Random Modulations
                  {\&} Permutations for Image Acquisition and Classification},
  booktitle    = {{ICIP}},
  pages        = {2085--2089},
  publisher    = {{IEEE}},
  year         = {2019}
}
@inproceedings{DBLP:conf/icml/NamKMPSF19,
  author       = {Jinseok Nam and
                  Young{-}Bum Kim and
                  Eneldo Loza Menc{\'{\i}}a and
                  Sunghyun Park and
                  Ruhi Sarikaya and
                  Johannes F{\"{u}}rnkranz},
  title        = {Learning Context-dependent Label Permutations for Multi-label Classification},
  booktitle    = {{ICML}},
  series       = {Proceedings of Machine Learning Research},
  volume       = {97},
  pages        = {4733--4742},
  publisher    = {{PMLR}},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1905-03046,
  author       = {Peter Meltzer and
                  Marcelo Daniel Gutierrez Mallea and
                  Peter J. Bentley},
  title        = {PiNet: {A} Permutation Invariant Graph Neural Network for Graph Classification},
  journal      = {CoRR},
  volume       = {abs/1905.03046},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1907-03386,
  author       = {Xiaogang Liu},
  title        = {Further results on some classes of permutation polynomials over finite
                  fields},
  journal      = {CoRR},
  volume       = {abs/1907.03386},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1907-12086,
  author       = {Xiaogang Liu},
  title        = {Necessities and sufficiencies of a class of permutation polynomials
                  over finite fields},
  journal      = {CoRR},
  volume       = {abs/1907.12086},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1909-08209,
  author       = {Kangquan Li and
                  Longjiang Qu and
                  Chao Li and
                  Hao Chen},
  title        = {On a conjecture about a class of permutation quadrinomials},
  journal      = {CoRR},
  volume       = {abs/1909.08209},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1911-05067,
  author       = {Jean{-}Luc Baril and
                  Vincent Vajnovszki},
  title        = {Popularity of patterns over d-equivalence classes of words and permutations},
  journal      = {CoRR},
  volume       = {abs/1911.05067},
  year         = {2019}
}
@article{DBLP:journals/aaecc/LiuSZ18,
  author       = {Qian Liu and
                  Yujuan Sun and
                  WeiGuo Zhang},
  title        = {Some classes of permutation polynomials over finite fields with odd
                  characteristic},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {29},
  number       = {5},
  pages        = {409--431},
  year         = {2018}
}
@article{DBLP:journals/aaecc/WangZZ18,
  author       = {Yanping Wang and
                  Zhengbang Zha and
                  Weiguo Zhang},
  title        = {Six new classes of permutation trinomials over {\(\mathbb{F}\)}\({}_{\mbox{3\({}^{\mbox{3k}}\)}}\)},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {29},
  number       = {6},
  pages        = {479--499},
  year         = {2018}
}
@article{DBLP:journals/bspc/TylovaKHV18,
  author       = {Lucie Tylov{\'{a}} and
                  Jarom{\'{\i}}r Kukal and
                  V{\'{a}}clav Hubata{-}Vacek and
                  Oldrich Vysata},
  title        = {Unbiased estimation of permutation entropy in {EEG} analysis for Alzheimer's
                  disease classification},
  journal      = {Biomed. Signal Process. Control.},
  volume       = {39},
  pages        = {424--430},
  year         = {2018}
}
@article{DBLP:journals/ccds/BaiX18,
  author       = {Tao Bai and
                  Yongbo Xia},
  title        = {A new class of permutation trinomials constructed from Niho exponents},
  journal      = {Cryptogr. Commun.},
  volume       = {10},
  number       = {6},
  pages        = {1023--1036},
  year         = {2018}
}
@article{DBLP:journals/cmpb/Cuesta-FrauMONV18,
  author       = {David Cuesta{-}Frau and
                  Pau Mir{\'{o}}{-}Mart{\'{\i}}nez and
                  Sandra Oltra{-}Crespo and
                  Jorge Jord{\'{a}}n N{\'{u}}{\~{n}}ez and
                  Borja Vargas and
                  Luis Vigil{-}Medina},
  title        = {Classification of glucose records from patients at diabetes risk using
                  a combined permutation entropy algorithm},
  journal      = {Comput. Methods Programs Biomed.},
  volume       = {165},
  pages        = {197--204},
  year         = {2018}
}
@article{DBLP:journals/combinatorica/Bevan18,
  author       = {David I. Bevan},
  title        = {Intervals of Permutation Class Growth Rates},
  journal      = {Comb.},
  volume       = {38},
  number       = {2},
  pages        = {279--303},
  year         = {2018}
}
@article{DBLP:journals/combinatorics/HadjiloucasMS18,
  author       = {Demetris Hadjiloucas and
                  Ioannis Michos and
                  Christina Savvidou},
  title        = {On Super-Strong Wilf Equivalence Classes of Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {25},
  number       = {2},
  pages        = {2},
  year         = {2018}
}
@article{DBLP:journals/complexity/Cuesta-FrauVMV18,
  author       = {David Cuesta{-}Frau and
                  Manuel Varela{-}Entrecanales and
                  Antonio Molina{-}Pic{\'{o}} and
                  Borja Vargas},
  title        = {Patterns with Equal Values in Permutation Entropy: Do They Really
                  Matter for Biosignal Classification?},
  journal      = {Complex.},
  volume       = {2018},
  pages        = {1324696:1--1324696:15},
  year         = {2018}
}
@article{DBLP:journals/comsur/IshikawaSH18,
  author       = {Naoki Ishikawa and
                  Shinya Sugiura and
                  Lajos Hanzo},
  title        = {50 Years of Permutation, Spatial and Index Modulation: From Classic
                  {RF} to Visible Light Communications and Data Storage},
  journal      = {{IEEE} Commun. Surv. Tutorials},
  volume       = {20},
  number       = {3},
  pages        = {1905--1938},
  year         = {2018}
}
@article{DBLP:journals/dm/TuZH18,
  author       = {Ziran Tu and
                  Xiangyong Zeng and
                  Tor Helleseth},
  title        = {A class of permutation quadrinomials},
  journal      = {Discret. Math.},
  volume       = {341},
  number       = {11},
  pages        = {3010--3020},
  year         = {2018}
}
@article{DBLP:journals/ffa/Bartoli18,
  author       = {Daniele Bartoli},
  title        = {On a conjecture about a class of permutation trinomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {52},
  pages        = {30--50},
  year         = {2018}
}
@article{DBLP:journals/ffa/TuZ18,
  author       = {Ziran Tu and
                  Xiangyong Zeng},
  title        = {Two classes of permutation trinomials with Niho exponents},
  journal      = {Finite Fields Their Appl.},
  volume       = {53},
  pages        = {99--112},
  year         = {2018}
}
@article{DBLP:journals/ffa/TuZLH18,
  author       = {Ziran Tu and
                  Xiangyong Zeng and
                  Chunlei Li and
                  Tor Helleseth},
  title        = {A class of new permutation trinomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {50},
  pages        = {178--195},
  year         = {2018}
}
@article{DBLP:journals/ieicet/PengTWGK18,
  author       = {Jie Peng and
                  Chik How Tan and
                  Qichun Wang and
                  Jianhua Gao and
                  Haibin Kan},
  title        = {More New Classes of Differentially 4-Uniform Permutations with Good
                  Cryptographic Properties},
  journal      = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
  volume       = {101-A},
  number       = {6},
  pages        = {945--952},
  year         = {2018}
}
@article{DBLP:journals/jcb/ZhouAGLR18,
  author       = {Xinrui Zhou and
                  Amihood Amir and
                  Concettina Guerra and
                  Gad M. Landau and
                  Jarek Rossignac},
  title        = {EDoP Distance Between Sets of Incomplete Permutations: Application
                  to Bacteria Classification Based on Gene Order},
  journal      = {J. Comput. Biol.},
  volume       = {25},
  number       = {11},
  pages        = {1193--1202},
  year         = {2018}
}
@article{DBLP:journals/jct/AlbertAB18,
  author       = {Michael H. Albert and
                  Aistis Atminas and
                  Robert Brignall},
  title        = {Characterising inflations of monotone grid classes of permutations},
  journal      = {J. Comb. Theory {A}},
  volume       = {154},
  pages        = {444--463},
  year         = {2018}
}
@article{DBLP:journals/sensors/ZhouQCXC18,
  author       = {Shenghan Zhou and
                  Silin Qian and
                  Wenbing Chang and
                  Yiyong Xiao and
                  Yang Cheng},
  title        = {A Novel Bearing Multi-Fault Diagnosis Approach Based on Weighted Permutation
                  Entropy and an Improved {SVM} Ensemble Classifier},
  journal      = {Sensors},
  volume       = {18},
  number       = {6},
  pages        = {1934},
  year         = {2018}
}
@article{DBLP:journals/siamdm/WangZZ18,
  author       = {Yanping Wang and
                  WeiGuo Zhang and
                  Zhengbang Zha},
  title        = {Six New Classes of Permutation Trinomials over {\unicode{54589}}\({}_{\mbox{2\({}^{\mbox{n}}\)}}\)},
  journal      = {{SIAM} J. Discret. Math.},
  volume       = {32},
  number       = {3},
  pages        = {1946--1961},
  year         = {2018}
}
@inproceedings{DBLP:conf/latin/MiracleS18,
  author       = {Sarah Miracle and
                  Amanda Pascoe Streib},
  title        = {Rapid Mixing of k-Class Biased Permutations},
  booktitle    = {{LATIN}},
  series       = {Lecture Notes in Computer Science},
  volume       = {10807},
  pages        = {820--834},
  publisher    = {Springer},
  year         = {2018}
}
@article{DBLP:journals/corr/abs-1804-11217,
  author       = {Bogdan Alecu and
                  Vadim V. Lozin and
                  Dominique de Werra and
                  Viktor Zamaraev},
  title        = {Letter graphs and geometric grid classes of permutations: characterization
                  and recognition},
  journal      = {CoRR},
  volume       = {abs/1804.11217},
  year         = {2018}
}
@article{DBLP:journals/corr/abs-1805-03097,
  author       = {Andrea Ferraguti and
                  Giacomo Micheli},
  title        = {Complete Classification of permutation rational functions of degree
                  three over finite fields},
  journal      = {CoRR},
  volume       = {abs/1805.03097},
  year         = {2018}
}
@article{DBLP:journals/aaecc/ZhengC17,
  author       = {Dabin Zheng and
                  Zhen Chen},
  title        = {More classes of permutation polynomials of the form (x\({}^{\mbox{p\({}^{\mbox{m}}\)}}\)
                  - x+{\(\delta\)})\({}^{\mbox{s + L(x)}}\)},
  journal      = {Appl. Algebra Eng. Commun. Comput.},
  volume       = {28},
  number       = {3},
  pages        = {215--223},
  year         = {2017}
}
@article{DBLP:journals/ccds/LiH17,
  author       = {Nian Li and
                  Tor Helleseth},
  title        = {Several classes of permutation trinomials from Niho exponents},
  journal      = {Cryptogr. Commun.},
  volume       = {9},
  number       = {6},
  pages        = {693--705},
  year         = {2017}
}
@article{DBLP:journals/combinatorics/BrignallS17,
  author       = {Robert Brignall and
                  Jakub Sliacan},
  title        = {Juxtaposing Catalan Permutation Classes with Monotone Ones},
  journal      = {Electron. J. Comb.},
  volume       = {24},
  number       = {2},
  pages        = {2},
  year         = {2017}
}
@article{DBLP:journals/dam/BassinoBPPR17,
  author       = {Fr{\'{e}}d{\'{e}}rique Bassino and
                  Mathilde Bouvel and
                  Adeline Pierrot and
                  Carine Pivoteau and
                  Dominique Rossin},
  title        = {An algorithm computing combinatorial specifications of permutation
                  classes},
  journal      = {Discret. Appl. Math.},
  volume       = {224},
  pages        = {16--44},
  year         = {2017}
}
@article{DBLP:journals/dam/MansourS17,
  author       = {Toufik Mansour and
                  Mark Shattuck},
  title        = {Nine classes of permutations enumerated by binomial transform of Fine's
                  sequence},
  journal      = {Discret. Appl. Math.},
  volume       = {226},
  pages        = {94--105},
  year         = {2017}
}
@article{DBLP:journals/dmtcs/JelinekO17,
  author       = {V{\'{\i}}t Jel{\'{\i}}nek and
                  Michal Opler},
  title        = {Splittability and 1-amalgamability of permutation classes},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {19},
  number       = {2},
  year         = {2017}
}
@article{DBLP:journals/entropy/Bandt17,
  author       = {Christoph Bandt},
  title        = {A New Kind of Permutation Entropy Used to Classify Sleep Stages from
                  Invisible {EEG} Microstructure},
  journal      = {Entropy},
  volume       = {19},
  number       = {5},
  pages        = {197},
  year         = {2017}
}
@article{DBLP:journals/entropy/RedelicoTGSRR17,
  author       = {Francisco O. Redelico and
                  Francisco Traversaro and
                  Mar{\'{\i}}a del Carmen Garc{\'{\i}}a and
                  Walter Silva and
                  Osvaldo Anibal Rosso and
                  Marcelo R. Risk},
  title        = {Classification of Normal and Pre-Ictal {EEG} Signals Using Permutation
                  Entropies and a Generalized Linear Model as a Classifier},
  journal      = {Entropy},
  volume       = {19},
  number       = {2},
  pages        = {72},
  year         = {2017}
}
@article{DBLP:journals/ffa/LiQC17,
  author       = {Kangquan Li and
                  Longjiang Qu and
                  Xi Chen},
  title        = {New classes of permutation binomials and permutation trinomials over
                  finite fields},
  journal      = {Finite Fields Their Appl.},
  volume       = {43},
  pages        = {69--85},
  year         = {2017}
}
@article{DBLP:journals/jintseq/BeanUC17,
  author       = {Christian Bean and
                  Henning {\'{U}}lfarsson and
                  Anders Claesson},
  title        = {Enumerations of Permutations Simultaneously Avoiding a Vincular and
                  a Covincular Pattern of Length 3},
  journal      = {J. Integer Seq.},
  volume       = {20},
  number       = {7},
  pages        = {17.7.6},
  year         = {2017}
}
@article{DBLP:journals/jintseq/Davis17,
  author       = {Robert Davis},
  title        = {Width-k Generalizations of Classical Permutation Statistics},
  journal      = {J. Integer Seq.},
  volume       = {20},
  number       = {6},
  pages        = {17.6.3},
  year         = {2017}
}
@article{DBLP:journals/jsjkx/WeiS18,
  author       = {Qing Wei and
                  Guanghong Sun},
  title        = {{\unicode{19968}}{\unicode{31867}}{\unicode{26377}}{\unicode{38480}}{\unicode{22495}}{\unicode{19978}}{\unicode{30340}}{\unicode{32622}}{\unicode{25442}}{\unicode{22810}}{\unicode{39033}}{\unicode{24335}}
                  (Class of Permutation Polynomials over Finite Fields)},
  journal      = {{\unicode{35745}}{\unicode{31639}}{\unicode{26426}}{\unicode{31185}}{\unicode{23398}}},
  volume       = {44},
  number       = {5},
  pages        = {170--171},
  year         = {2017}
}
@article{DBLP:journals/mscs/BattaglinoBFR17,
  author       = {Daniela Battaglino and
                  Mathilde Bouvel and
                  Andrea Frosini and
                  Simone Rinaldi},
  title        = {Permutation classes and polyomino classes with excluded submatrices},
  journal      = {Math. Struct. Comput. Sci.},
  volume       = {27},
  number       = {2},
  pages        = {157--183},
  year         = {2017}
}
@article{DBLP:journals/poit/Ivanov17,
  author       = {Fedor I. Ivanov},
  title        = {A special class of quasi-cyclic low-density parity-check codes based
                  on repetition codes and permutation matrices},
  journal      = {Probl. Inf. Transm.},
  volume       = {53},
  number       = {3},
  pages        = {229--241},
  year         = {2017}
}
@article{DBLP:journals/talg/BacherBHT17,
  author       = {Axel Bacher and
                  Olivier Bodini and
                  Hsien{-}Kuei Hwang and
                  Tsung{-}Hsi Tsai},
  title        = {Generating Random Permutations by Coin Tossing: Classical Algorithms,
                  New Analysis, and Modern Implementation},
  journal      = {{ACM} Trans. Algorithms},
  volume       = {13},
  number       = {2},
  pages        = {24:1--24:43},
  year         = {2017}
}
@article{DBLP:journals/tosc/BozilovBS17,
  author       = {Dusan Bozilov and
                  Beg{\"{u}}l Bilgin and
                  Haci Ali Sahin},
  title        = {A Note on 5-bit Quadratic Permutations' Classification},
  journal      = {{IACR} Trans. Symmetric Cryptol.},
  volume       = {2017},
  number       = {1},
  pages        = {398--404},
  year         = {2017}
}
@inproceedings{DBLP:conf/bigmm/YinCHY17,
  author       = {Bangxu Yin and
                  Fan Chen and
                  Hongjie He and
                  Shu Yan},
  title        = {Separable Reversible Data Hiding in Encrypted Image with Classification
                  Permutation},
  booktitle    = {BigMM},
  pages        = {201--204},
  publisher    = {{IEEE} Computer Society},
  year         = {2017}
}
@inproceedings{DBLP:conf/ccia/AriasAD17,
  author       = {Marta Arias and
                  Argimiro Arratia and
                  Ariel Duarte{-}L{\'{o}}pez},
  title        = {Classifier Selection with Permutation Tests},
  booktitle    = {{CCIA}},
  series       = {Frontiers in Artificial Intelligence and Applications},
  volume       = {300},
  pages        = {96--105},
  publisher    = {{IOS} Press},
  year         = {2017}
}
@inproceedings{DBLP:conf/cores/TrajdosK17,
  author       = {Pawel Trajdos and
                  Marek Kurzynski},
  title        = {Permutation-Based Diversity Measure for Classifier-Chain Approach},
  booktitle    = {{CORES}},
  series       = {Advances in Intelligent Systems and Computing},
  volume       = {578},
  pages        = {412--422},
  year         = {2017}
}
@inproceedings{DBLP:conf/dlt/ZantemaB17,
  author       = {Hans Zantema and
                  Wieb Bosma},
  title        = {Classifying Non-periodic Sequences by Permutation Transducers},
  booktitle    = {{DLT}},
  series       = {Lecture Notes in Computer Science},
  volume       = {10396},
  pages        = {365--377},
  publisher    = {Springer},
  year         = {2017}
}
@inproceedings{DBLP:conf/eusipco/MiticheMNBS17,
  author       = {Imene Mitiche and
                  Gordon Morison and
                  Alan Nesbitt and
                  Philip Boreham and
                  Brian G. Stewart},
  title        = {Classification of partial discharge {EMI} conditions using permutation
                  entropy-based features},
  booktitle    = {{EUSIPCO}},
  pages        = {1375--1379},
  publisher    = {{IEEE}},
  year         = {2017}
}
@inproceedings{DBLP:conf/iwoca/AlecuLZW17,
  author       = {Bogdan Alecu and
                  Vadim V. Lozin and
                  Viktor Zamaraev and
                  Dominique de Werra},
  title        = {Letter Graphs and Geometric Grid Classes of Permutations: Characterization
                  and Recognition},
  booktitle    = {{IWOCA}},
  series       = {Lecture Notes in Computer Science},
  volume       = {10765},
  pages        = {195--205},
  publisher    = {Springer},
  year         = {2017}
}
@inproceedings{DBLP:conf/prni/GanzK17,
  author       = {Melanie Ganz and
                  Ender Konukoglu},
  title        = {Permutation tests for classification: revisited},
  booktitle    = {{PRNI}},
  pages        = {1--4},
  publisher    = {{IEEE}},
  year         = {2017}
}
@article{DBLP:journals/corr/BaiX17,
  author       = {Tao Bai and
                  Yongbo Xia},
  title        = {A new class of permutation trinomials constructed from Niho exponents},
  journal      = {CoRR},
  volume       = {abs/1707.00549},
  year         = {2017}
}
@article{DBLP:journals/corr/WangZZ17a,
  author       = {Yanping Wang and
                  WeiGuo Zhang and
                  Zhengbang Zha},
  title        = {More new classes of permutation trinomials over {\textdollar}{\textbackslash}mathbb\{F\}{\_}\{2n\}{\textdollar}},
  journal      = {CoRR},
  volume       = {abs/1706.00362},
  year         = {2017}
}
@article{DBLP:journals/corr/WuL17,
  author       = {Gaofei Wu and
                  Nian Li},
  title        = {Several Classes of Permutation Trinomials over F\({}_{\mbox{5s\({}^{\mbox{n}}\)}}\)
                  From Niho Exponents},
  journal      = {CoRR},
  volume       = {abs/1702.06446},
  year         = {2017}
}
@article{DBLP:journals/corr/abs-1708-05078,
  author       = {Sarah Miracle and
                  Amanda Pascoe Streib},
  title        = {Rapid Mixing of k-Class Biased Permutations},
  journal      = {CoRR},
  volume       = {abs/1708.05078},
  year         = {2017}
}
@article{DBLP:journals/corr/abs-1711-09708,
  author       = {Marta Arias and
                  Argimiro Arratia and
                  Ariel Duarte{-}L{\'{o}}pez},
  title        = {Classifier Selection with Permutation Tests},
  journal      = {CoRR},
  volume       = {abs/1711.09708},
  year         = {2017}
}
@article{DBLP:journals/corr/abs-1712-00310,
  author       = {Jakub M. Tomczak and
                  Maximilian Ilse and
                  Max Welling},
  title        = {Deep Learning with Permutation-invariant Operator for Multi-instance
                  Histopathology Classification},
  journal      = {CoRR},
  volume       = {abs/1712.00310},
  year         = {2017}
}
@article{DBLP:journals/aam/Opler16,
  author       = {Michal Opler},
  title        = {Major index distribution over permutation classes},
  journal      = {Adv. Appl. Math.},
  volume       = {80},
  pages        = {131--150},
  year         = {2016}
}
@article{DBLP:journals/ajc/AlbertAHP16,
  author       = {Michael H. Albert and
                  M. D. Atkinson and
                  Cheyne Homberger and
                  Jay Pantone},
  title        = {Deflatability of permutation classes},
  journal      = {Australas. {J} Comb.},
  volume       = {64},
  pages        = {252--276},
  year         = {2016}
}
@article{DBLP:journals/ajc/Bevan16,
  author       = {David I. Bevan},
  title        = {The permutation classes Av(1234, 2341) and Av(1243, 2314)},
  journal      = {Australas. {J} Comb.},
  volume       = {64},
  pages        = {3--20},
  year         = {2016}
}
@article{DBLP:journals/algorithmica/Basset16,
  author       = {Nicolas Basset},
  title        = {Counting and Generating Permutations in Regular Classes},
  journal      = {Algorithmica},
  volume       = {76},
  number       = {4},
  pages        = {989--1034},
  year         = {2016}
}
@article{DBLP:journals/combinatorics/AlbertJ16,
  author       = {Michael Albert and
                  V{\'{\i}}t Jel{\'{\i}}nek},
  title        = {Unsplittable Classes of Separable Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {23},
  number       = {2},
  pages        = {2},
  year         = {2016}
}
@article{DBLP:journals/dam/PasalicCW16,
  author       = {Enes Pasalic and
                  Nastja Cepak and
                  Yongzhuang Wei},
  title        = {Infinite classes of vectorial plateaued functions, permutations and
                  complete permutations},
  journal      = {Discret. Appl. Math.},
  volume       = {215},
  pages        = {177--184},
  year         = {2016}
}
@article{DBLP:journals/dcc/ZhengYP16,
  author       = {Yanbin Zheng and
                  Pingzhi Yuan and
                  Dingyi Pei},
  title        = {Large classes of permutation polynomials over F\({}_{\mbox{q\({}^{\mbox{2}}\)}}\)},
  journal      = {Des. Codes Cryptogr.},
  volume       = {81},
  number       = {3},
  pages        = {505--521},
  year         = {2016}
}
@article{DBLP:journals/dmtcs/Bevan16,
  author       = {David I. Bevan},
  title        = {The permutation class Av(4213, 2143)},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {18},
  number       = {2},
  year         = {2016}
}
@article{DBLP:journals/dmtcs/Vatter16,
  author       = {Vincent Vatter},
  title        = {An Erd{\H{o}}s-Hajnal analogue for permutation classes},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {18},
  number       = {2},
  year         = {2016}
}
@article{DBLP:journals/ffa/GuptaS16,
  author       = {Rohit Gupta and
                  R. K. Sharma},
  title        = {Some new classes of permutation trinomials over finite fields with
                  even characteristic},
  journal      = {Finite Fields Their Appl.},
  volume       = {41},
  pages        = {89--96},
  year         = {2016}
}
@article{DBLP:journals/ffa/ZhaH16,
  author       = {Zhengbang Zha and
                  Lei Hu},
  title        = {Some classes of permutation polynomials of the form (x\({}^{\mbox{p\({}^{\mbox{m}}\)}}\)-x+{\(\delta\)})\({}^{\mbox{s}}\)+x
                  over F\({}_{\mbox{p\({}^{\mbox{2m}}\)}}\)},
  journal      = {Finite Fields Their Appl.},
  volume       = {40},
  pages        = {150--162},
  year         = {2016}
}
@article{DBLP:journals/jsc/HombergerV16,
  author       = {Cheyne Homberger and
                  Vincent Vatter},
  title        = {On the effective and automatic enumeration of polynomial permutation
                  classes},
  journal      = {J. Symb. Comput.},
  volume       = {76},
  pages        = {84--96},
  year         = {2016}
}
@article{DBLP:journals/nca/BaidykKMGSCSDC16,
  author       = {Tatiana Baidyk and
                  Ernst M. Kussul and
                  Z. Cruz Monterrosas and
                  A. J. Ibarra Gallardo and
                  Lucero Rold{\'{a}}n Serrato and
                  Cristina Conde and
                  {\'{A}}ngel Serrano and
                  Isaac Mart{\'{\i}}n de Diego and
                  Enrique Cabello},
  title        = {Face recognition using a permutation coding neural classifier},
  journal      = {Neural Comput. Appl.},
  volume       = {27},
  number       = {4},
  pages        = {973--987},
  year         = {2016}
}
@inproceedings{DBLP:conf/acsc/HonKL16,
  author       = {Wing{-}Kai Hon and
                  Ton Kloks and
                  Hsiang{-}Hsuan Liu},
  title        = {On the \emph{P}\({}_{\mbox{3}}\)-convexity of some classes of graphs
                  with few \emph{P}\({}_{\mbox{4}}\)s and permutation graphs},
  booktitle    = {{ACSW}},
  pages        = {24},
  publisher    = {{ACM}},
  year         = {2016}
}
@article{DBLP:journals/corr/CaricZ16,
  author       = {Marko Caric and
                  Miodrag Zivkovic},
  title        = {On the number of equivalence classes of invertible Boolean functions
                  under action of permutation of variables on domain and range},
  journal      = {CoRR},
  volume       = {abs/1603.04386},
  year         = {2016}
}
@article{DBLP:journals/corr/LiH16g,
  author       = {Nian Li and
                  Tor Helleseth},
  title        = {Several Classes of Permutation Trinomials From Niho Exponents},
  journal      = {CoRR},
  volume       = {abs/1612.08823},
  year         = {2016}
}
@article{DBLP:journals/iacr/BaiW16a,
  author       = {Jian Bai and
                  Dingkang Wang},
  title        = {A New Class of Differentially 4-uniform Permutations from the Inverse
                  Function},
  journal      = {{IACR} Cryptol. ePrint Arch.},
  pages        = {941},
  year         = {2016}
}
@phdthesis{DBLP:phd/ethos/Hoffmann15,
  author       = {Ruth Hoffmann},
  title        = {On dots in boxes, or permutation pattern classes and regular languages},
  school       = {University of St Andrews, {UK}},
  year         = {2015}
}
@article{DBLP:journals/aam/BassinoBPR15,
  author       = {Fr{\'{e}}d{\'{e}}rique Bassino and
                  Mathilde Bouvel and
                  Adeline Pierrot and
                  Dominique Rossin},
  title        = {An algorithm for deciding the finiteness of the number of simple permutations
                  in permutation classes},
  journal      = {Adv. Appl. Math.},
  volume       = {64},
  pages        = {124--200},
  year         = {2015}
}
@article{DBLP:journals/aam/JelinekV15,
  author       = {V{\'{\i}}t Jel{\'{\i}}nek and
                  Pavel Valtr},
  title        = {Splittings and Ramsey properties of permutation classes},
  journal      = {Adv. Appl. Math.},
  volume       = {63},
  pages        = {41--67},
  year         = {2015}
}
@article{DBLP:journals/combinatorics/AlbertHP15,
  author       = {Michael H. Albert and
                  Cheyne Homberger and
                  Jay Pantone},
  title        = {Equipopularity Classes in the Separable Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {22},
  number       = {2},
  pages        = {2},
  year         = {2015}
}
@article{DBLP:journals/ffa/TuZJ15,
  author       = {Ziran Tu and
                  Xiangyong Zeng and
                  Yupeng Jiang},
  title        = {Two classes of permutation polynomials having the form (x\({}^{\mbox{2\({}^{\mbox{m}}\)}}\)+x+{\(\delta\)})\({}^{\mbox{s}}\)+x},
  journal      = {Finite Fields Their Appl.},
  volume       = {31},
  pages        = {12--24},
  year         = {2015}
}
@article{DBLP:journals/jct/GaronziM15,
  author       = {Martino Garonzi and
                  Attila Mar{\'{o}}ti},
  title        = {On the number of conjugacy classes of a permutation group},
  journal      = {J. Comb. Theory {A}},
  volume       = {133},
  pages        = {251--260},
  year         = {2015}
}
@inproceedings{DBLP:conf/cec/IvertAI15,
  author       = {Annica Ivert and
                  Claus de Castro Aranha and
                  Hitoshi Iba},
  title        = {Feature selection and classification using ensembles of genetic programs
                  and within-class and between-class permutations},
  booktitle    = {{CEC}},
  pages        = {1121--1128},
  publisher    = {{IEEE}},
  year         = {2015}
}
@article{DBLP:journals/corr/BassinoBPPR15,
  author       = {Fr{\'{e}}d{\'{e}}rique Bassino and
                  Mathilde Bouvel and
                  Adeline Pierrot and
                  Carine Pivoteau and
                  Dominique Rossin},
  title        = {An algorithm computing combinatorial specifications of permutation
                  classes},
  journal      = {CoRR},
  volume       = {abs/1506.00868},
  year         = {2015}
}
@article{DBLP:journals/corr/LiQC15,
  author       = {Kangquan Li and
                  Longjiang Qu and
                  Xi Chen},
  title        = {New Classes of Permutation Binomials and Permutation Trinomials over
                  Finite Fields},
  journal      = {CoRR},
  volume       = {abs/1508.07590},
  year         = {2015}
}
@article{DBLP:journals/adac/CorainMPS14,
  author       = {Livio Corain and
                  Viatcheslav B. Melas and
                  Andrey Pepelyshev and
                  Luigi Salmaso},
  title        = {New insights on permutation approach for hypothesis testing on functional
                  data},
  journal      = {Adv. Data Anal. Classif.},
  volume       = {8},
  number       = {3},
  pages        = {339--356},
  year         = {2014}
}
@article{DBLP:journals/combinatorics/Bevan14,
  author       = {David I. Bevan},
  title        = {Growth Rates of Geometric Grid Classes of Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {21},
  number       = {4},
  pages        = {4},
  year         = {2014}
}
@article{DBLP:journals/combinatorics/ChuaS14,
  author       = {Lynn Chua and
                  Krishanu Roy Sankar},
  title        = {Equipopularity Classes of 132-Avoiding Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {21},
  number       = {1},
  pages        = {1},
  year         = {2014}
}
@article{DBLP:journals/combinatorics/ClaessonH14,
  author       = {Anders Claesson and
                  Stuart A. Hannah},
  title        = {Decomposing Labeled Interval Orders as Pairs of Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {21},
  number       = {4},
  pages        = {4},
  year         = {2014}
}
@article{DBLP:journals/combinatorics/Fazel-Rezai14,
  author       = {Vahid Fazel{-}Rezai},
  title        = {Equivalence Classes of Permutations Modulo Replacements Between 123
                  and Two-Integer Patterns},
  journal      = {Electron. J. Comb.},
  volume       = {21},
  number       = {2},
  pages        = {2},
  year         = {2014}
}
@article{DBLP:journals/cssc/Li14,
  author       = {Liang Li},
  title        = {A Class of Permutation Tests for the Equality of Two Marginal Survival
                  Functions Using Paired Censored Data},
  journal      = {Commun. Stat. Simul. Comput.},
  volume       = {43},
  number       = {10},
  pages        = {2498--2507},
  year         = {2014}
}
@article{DBLP:journals/ffa/TuZH14,
  author       = {Ziran Tu and
                  Xiangyong Zeng and
                  Lei Hu},
  title        = {Several classes of complete permutation polynomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {25},
  pages        = {182--193},
  year         = {2014}
}
@article{DBLP:journals/ffa/TuxanidyW14,
  author       = {Aleksandr Tuxanidy and
                  Qiang Wang},
  title        = {On the inverses of some classes of permutations of finite fields},
  journal      = {Finite Fields Their Appl.},
  volume       = {28},
  pages        = {244--281},
  year         = {2014}
}
@article{DBLP:journals/ffa/Wu14,
  author       = {Baofeng Wu},
  title        = {The compositional inverse of a class of linearized permutation polynomials
                  over {\(\mathbb{F}\)}\({}_{\mbox{2\({}^{\mbox{n}}\)}}\), n odd},
  journal      = {Finite Fields Their Appl.},
  volume       = {29},
  pages        = {34--48},
  year         = {2014}
}
@article{DBLP:journals/ffa/WuLHZ14,
  author       = {Gaofei Wu and
                  Nian Li and
                  Tor Helleseth and
                  Yuqing Zhang},
  title        = {Some classes of monomial complete permutation polynomials over finite
                  fields of characteristic two},
  journal      = {Finite Fields Their Appl.},
  volume       = {28},
  pages        = {148--165},
  year         = {2014}
}
@inproceedings{DBLP:conf/IEEEcca/BhowmikPP14,
  author       = {Partha Sarathee Bhowmik and
                  Mangal Prakash and
                  Sourav Pradhan},
  title        = {A novel neuro-classifier using Multiscale Permutation Entropy for
                  motor fault diagnosis},
  booktitle    = {{CCA}},
  pages        = {370--375},
  publisher    = {{IEEE}},
  year         = {2014}
}
@inproceedings{DBLP:conf/prni/Al-RawiFDC14,
  author       = {Mohammed Al{-}Rawi and
                  Adelaide Freitas and
                  Jo{\~{a}}o V. Duarte and
                  Miguel Castelo{-}Branco},
  title        = {Permutation distributions of fMRI classification do not behave in
                  accord with central limit theorem},
  booktitle    = {{PRNI}},
  pages        = {1--4},
  publisher    = {{IEEE}},
  year         = {2014}
}
@article{DBLP:journals/dam/YuW13,
  author       = {Yuyin Yu and
                  Mingsheng Wang},
  title        = {Permutation polynomials and their differential properties over residue
                  class rings},
  journal      = {Discret. Appl. Math.},
  volume       = {161},
  number       = {18},
  pages        = {3104--3108},
  year         = {2013}
}
@article{DBLP:journals/ffa/LiHT13,
  author       = {Nian Li and
                  Tor Helleseth and
                  Xiaohu Tang},
  title        = {Further results on a class of permutation polynomials over finite
                  fields},
  journal      = {Finite Fields Their Appl.},
  volume       = {22},
  pages        = {16--23},
  year         = {2013}
}
@article{DBLP:journals/ffa/WuL13a,
  author       = {Baofeng Wu and
                  Zhuojun Liu},
  title        = {The compositional inverse of a class of bilinear permutation polynomials
                  over finite fields of characteristic 2},
  journal      = {Finite Fields Their Appl.},
  volume       = {24},
  pages        = {136--147},
  year         = {2013}
}
@article{DBLP:journals/ipl/Baril13,
  author       = {Jean{-}Luc Baril},
  title        = {Statistics-preserving bijections between classical and cyclic permutations},
  journal      = {Inf. Process. Lett.},
  volume       = {113},
  number       = {1-2},
  pages        = {17--22},
  year         = {2013}
}
@article{DBLP:journals/neuroimage/StelzerCT13,
  author       = {Johannes Stelzer and
                  Yi Chen and
                  Robert Turner},
  title        = {Statistical inference and multiple testing correction in classification-based
                  multi-voxel pattern analysis {(MVPA):} Random permutations and cluster
                  size control},
  journal      = {NeuroImage},
  volume       = {65},
  pages        = {69--82},
  year         = {2013}
}
@inproceedings{DBLP:conf/eidwt/Zheng13,
  author       = {Yanbin Zheng},
  title        = {A Note on a Class of Permutation Polynomials},
  booktitle    = {{EIDWT}},
  pages        = {302--306},
  publisher    = {{IEEE} Computer Society},
  year         = {2013}
}
@inproceedings{DBLP:conf/ijcnn/LabatePMMFM13,
  author       = {Domenico Labate and
                  Isabella Palamara and
                  Nadia Mammone and
                  Giuseppe Morabito and
                  Fabio La Foresta and
                  Francesco Carlo Morabito},
  title        = {{SVM} classification of epileptic {EEG} recordings through multiscale
                  permutation entropy},
  booktitle    = {{IJCNN}},
  pages        = {1--5},
  publisher    = {{IEEE}},
  year         = {2013}
}
@inproceedings{DBLP:conf/semcco/TongeK13,
  author       = {Vanita G. Tonge and
                  Pravin Kulkarni},
  title        = {Permutation Flowshop Scheduling Problem Using Classical NEH, {ILS-ESP}
                  Operator},
  booktitle    = {{SEMCCO} {(2)}},
  series       = {Lecture Notes in Computer Science},
  volume       = {8298},
  pages        = {595--605},
  publisher    = {Springer},
  year         = {2013}
}
@article{DBLP:journals/corr/BassinoBPR13,
  author       = {Fr{\'{e}}d{\'{e}}rique Bassino and
                  Mathilde Bouvel and
                  Adeline Pierrot and
                  Dominique Rossin},
  title        = {An algorithm for deciding the finiteness of the number of simple permutations
                  in permutation classes},
  journal      = {CoRR},
  volume       = {abs/1307.2006},
  year         = {2013}
}
@article{DBLP:journals/corr/JelinekV13,
  author       = {V{\'{\i}}t Jel{\'{\i}}nek and
                  Pavel Valtr},
  title        = {Splittings and Ramsey Properties of Permutation Classes},
  journal      = {CoRR},
  volume       = {abs/1307.0027},
  year         = {2013}
}
@article{DBLP:journals/corr/TuZHL13,
  author       = {Ziran Tu and
                  Xiangyong Zeng and
                  Lei Hu and
                  Chunlei Li},
  title        = {A Class of Binomial Permutation Polynomials},
  journal      = {CoRR},
  volume       = {abs/1310.0337},
  year         = {2013}
}
@article{DBLP:journals/corr/TuxanidyW13,
  author       = {Aleksandr Tuxanidy and
                  Qiang Wang},
  title        = {On the inverses of some classes of permutations of finite fields},
  journal      = {CoRR},
  volume       = {abs/1310.8369},
  year         = {2013}
}
@article{DBLP:journals/corr/WuLHZ13,
  author       = {Gaofei Wu and
                  Nian Li and
                  Tor Helleseth and
                  Yuqing Zhang},
  title        = {More Classes of Complete Permutation Polynomials over {\textdollar}{\textbackslash}F{\_}q{\textdollar}},
  journal      = {CoRR},
  volume       = {abs/1312.4716},
  year         = {2013}
}
@article{DBLP:journals/iacr/YuW13,
  author       = {Yuyin Yu and
                  Mingsheng Wang},
  title        = {Permutation Polynomials and Their Differential Properties over Residue
                  Class Rings},
  journal      = {{IACR} Cryptol. ePrint Arch.},
  pages        = {251},
  year         = {2013}
}
@article{DBLP:journals/ajc/Albert12,
  author       = {Michael H. Albert},
  title        = {Young classes of permutations},
  journal      = {Australas. {J} Comb.},
  volume       = {54},
  pages        = {49--58},
  year         = {2012}
}
@article{DBLP:journals/combinatorics/BarnabeiBS12,
  author       = {Marilena Barnabei and
                  Flavio Bonetti and
                  Matteo Silimbani},
  title        = {Two Permutation Classes related to the Bubble Sort Operator},
  journal      = {Electron. J. Comb.},
  volume       = {19},
  number       = {3},
  pages        = {25},
  year         = {2012}
}
@article{DBLP:journals/combinatorics/Homberger12,
  author       = {Cheyne Homberger},
  title        = {Expected Patterns in Permutation Classes},
  journal      = {Electron. J. Comb.},
  volume       = {19},
  number       = {3},
  pages        = {43},
  year         = {2012}
}
@article{DBLP:journals/ffa/ZhaH12,
  author       = {Zhengbang Zha and
                  Lei Hu},
  title        = {Two classes of permutation polynomials over finite fields},
  journal      = {Finite Fields Their Appl.},
  volume       = {18},
  number       = {4},
  pages        = {781--790},
  year         = {2012}
}
@article{DBLP:journals/ijon/Al-RawiC12,
  author       = {Mohammed Sadeq Al{-}Rawi and
                  Jo{\~{a}}o Paulo da Silva Cunha},
  title        = {On using permutation tests to estimate the classification significance
                  of functional magnetic resonance imaging data},
  journal      = {Neurocomputing},
  volume       = {82},
  pages        = {224--233},
  year         = {2012}
}
@article{DBLP:journals/jsc/Vatter12,
  author       = {Vincent Vatter},
  title        = {Finding regular insertion encodings for permutation classes},
  journal      = {J. Symb. Comput.},
  volume       = {47},
  number       = {3},
  pages        = {259--265},
  year         = {2012}
}
@inproceedings{DBLP:conf/iciar/Al-RawiC12,
  author       = {Mohammed Sadeq Al{-}Rawi and
                  Jo{\~{a}}o Paulo da Silva Cunha},
  title        = {Using Permutation Tests to Study How the Dimensionality, the Number
                  of Classes, and the Number of Samples Affect Classification Analysis},
  booktitle    = {{ICIAR} {(1)}},
  series       = {Lecture Notes in Computer Science},
  volume       = {7324},
  pages        = {34--42},
  publisher    = {Springer},
  year         = {2012}
}
@inproceedings{DBLP:conf/infocom/WeiXC12,
  author       = {Rihua Wei and
                  Yang Xu and
                  H. Jonathan Chao},
  title        = {Block permutations in Boolean Space to minimize {TCAM} for packet
                  classification},
  booktitle    = {{INFOCOM}},
  pages        = {2561--2565},
  publisher    = {{IEEE}},
  year         = {2012}
}
@article{DBLP:journals/combinatorics/Baril11,
  author       = {Jean{-}Luc Baril},
  title        = {Classical Sequences Revisited with Permutations Avoiding Dotted Pattern},
  journal      = {Electron. J. Comb.},
  volume       = {18},
  number       = {1},
  year         = {2011}
}
@article{DBLP:journals/combinatorics/BrandenC11,
  author       = {Petter Br{\"{a}}nd{\'{e}}n and
                  Anders Claesson},
  title        = {Mesh Patterns and the Expansion of Permutation Statistics as Sums
                  of Permutation Patterns},
  journal      = {Electron. J. Comb.},
  volume       = {18},
  number       = {2},
  year         = {2011}
}
@article{DBLP:journals/combinatorics/ClaessonJJK11,
  author       = {Anders Claesson and
                  V{\'{\i}}t Jel{\'{\i}}nek and
                  Eva Jel{\'{\i}}nkov{\'{a}} and
                  Sergey Kitaev},
  title        = {Pattern Avoidance in Partial Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {18},
  number       = {1},
  year         = {2011}
}
@article{DBLP:journals/ijcopi/KarimK11,
  author       = {Lutful Karim and
                  Nargis Khan},
  title        = {Simple permutations of the classes Av(321, 3412) and Av(321, 4123)
                  have polynomial growth},
  journal      = {Int. J. Comb. Optim. Probl. Informatics},
  volume       = {2},
  number       = {2},
  pages        = {2--11},
  year         = {2011}
}
@article{DBLP:journals/ijcopi/KarimK11a,
  author       = {Lutful Karim and
                  Nargis Khan},
  title        = {Simple permutations of the classes Av(321, 13524) and Av(321, 13452)
                  have polynomial growth},
  journal      = {Int. J. Comb. Optim. Probl. Informatics},
  volume       = {2},
  number       = {2},
  pages        = {12--20},
  year         = {2011}
}
@article{DBLP:journals/jct/Hou11,
  author       = {Xiang{-}dong Hou},
  title        = {Two classes of permutation polynomials over finite fields},
  journal      = {J. Comb. Theory {A}},
  volume       = {118},
  number       = {2},
  pages        = {448--454},
  year         = {2011}
}
@article{DBLP:journals/mva/ToledoKB11,
  author       = {Gengis K. Toledo and
                  Ernst M. Kussul and
                  Tatiana Baidyk},
  title        = {Work piece recognition based on the permutation neural classifier
                  technique},
  journal      = {Mach. Vis. Appl.},
  volume       = {22},
  number       = {3},
  pages        = {495--504},
  year         = {2011}
}
@article{DBLP:journals/order/VatterW11,
  author       = {Vincent Vatter and
                  Steve Waton},
  title        = {On Partial Well-Order for Monotone Grid Classes of Permutations},
  journal      = {Order},
  volume       = {28},
  number       = {2},
  pages        = {193--199},
  year         = {2011}
}
@inproceedings{DBLP:conf/ccmb/DuenyasM11,
  author       = {Shahaf Duenyas and
                  Michael Margaliot},
  title        = {Knowledge extraction from a class of support vector machines using
                  the fuzzy all-permutations rule-base},
  booktitle    = {{CCMB}},
  pages        = {59--65},
  publisher    = {{IEEE}},
  year         = {2011}
}
@inproceedings{DBLP:conf/dis/Zliobaite11,
  author       = {Indre Zliobaite},
  title        = {Controlled Permutations for Testing Adaptive Classifiers},
  booktitle    = {Discovery Science},
  series       = {Lecture Notes in Computer Science},
  volume       = {6926},
  pages        = {365--379},
  publisher    = {Springer},
  year         = {2011}
}
@article{DBLP:journals/cc/ArvindV10,
  author       = {Vikraman Arvind and
                  T. C. Vijayaraghavan},
  title        = {Classifying Problems on Linear Congruences and Abelian Permutation
                  Groups Using Logspace Counting Classes},
  journal      = {Comput. Complex.},
  volume       = {19},
  number       = {1},
  pages        = {57--98},
  year         = {2010}
}
@article{DBLP:journals/ejc/ChungCDG10,
  author       = {Fan R. K. Chung and
                  Anders Claesson and
                  Mark Dukes and
                  Ronald L. Graham},
  title        = {Descent polynomials for permutations with bounded drop size},
  journal      = {Eur. J. Comb.},
  volume       = {31},
  number       = {7},
  pages        = {1853--1867},
  year         = {2010}
}
@article{DBLP:journals/ejc/PonetiV10,
  author       = {Maddalena Poneti and
                  Vincent Vajnovszki},
  title        = {Generating restricted classes of involutions, Bell and Stirling permutations},
  journal      = {Eur. J. Comb.},
  volume       = {31},
  number       = {2},
  pages        = {553--564},
  year         = {2010}
}
@article{DBLP:journals/ffa/Yuan10,
  author       = {Pingzhi Yuan},
  title        = {More explicit classes of permutation polynomials of F\({}_{\mbox{3\({}^{\mbox{3m}}\)}}\)},
  journal      = {Finite Fields Their Appl.},
  volume       = {16},
  number       = {2},
  pages        = {88--95},
  year         = {2010}
}
@article{DBLP:journals/ijicot/AldersonM10,
  author       = {T. L. Alderson and
                  Keith E. Mellinger},
  title        = {Classes of permutation arrays in finite projective spaces},
  journal      = {Int. J. Inf. Coding Theory},
  volume       = {1},
  number       = {4},
  pages        = {371--383},
  year         = {2010}
}
@article{DBLP:journals/jca/BulitkoV10,
  author       = {Valeriy K. Bulitko and
                  Burton Voorhees},
  title        = {Index Permutations and Classes of Additive Cellular Automata Rules
                  with Isomorphic {STD}},
  journal      = {J. Cell. Autom.},
  volume       = {5},
  number       = {1-2},
  pages        = {1--28},
  year         = {2010}
}
@article{DBLP:journals/jct/Bousquet-MelouCDK10,
  author       = {Mireille Bousquet{-}M{\'{e}}lou and
                  Anders Claesson and
                  Mark Dukes and
                  Sergey Kitaev},
  title        = {(2+2)-free posets, ascent sequences and pattern avoiding permutations},
  journal      = {J. Comb. Theory {A}},
  volume       = {117},
  number       = {7},
  pages        = {884--909},
  year         = {2010}
}
@article{DBLP:journals/jmlr/OjalaG10,
  author       = {Markus Ojala and
                  Gemma C. Garriga},
  title        = {Permutation Tests for Studying Classifier Performance},
  journal      = {J. Mach. Learn. Res.},
  volume       = {11},
  pages        = {1833--1863},
  year         = {2010}
}
@inproceedings{DBLP:conf/ismvl/CouceiroL10a,
  author       = {Miguel Couceiro and
                  Erkko Lehtonen},
  title        = {Classes of Operations Closed under Permutation, Cylindrification and
                  Composition},
  booktitle    = {{ISMVL}},
  pages        = {117--121},
  publisher    = {{IEEE} Computer Society},
  year         = {2010}
}
@article{DBLP:journals/corr/abs-1002-3866,
  author       = {Fr{\'{e}}d{\'{e}}rique Bassino and
                  Mathilde Bouvel and
                  Adeline Pierrot and
                  Dominique Rossin},
  title        = {Deciding the finiteness of the number of simple permutations contained
                  in a wreath-closed class is polynomial},
  journal      = {CoRR},
  volume       = {abs/1002.3866},
  year         = {2010}
}
@article{DBLP:journals/aam/ClaessonKS09,
  author       = {Anders Claesson and
                  Sergey Kitaev and
                  Einar Steingr{\'{\i}}msson},
  title        = {Decompositions and statistics for {\(\beta\)}(1, 0)-trees and nonseparable
                  permutations},
  journal      = {Adv. Appl. Math.},
  volume       = {42},
  number       = {3},
  pages        = {313--328},
  year         = {2009}
}
@article{DBLP:journals/ipl/Baril09,
  author       = {Jean{-}Luc Baril},
  title        = {More restrictive Gray codes for some classes of pattern avoiding permutations},
  journal      = {Inf. Process. Lett.},
  volume       = {109},
  number       = {14},
  pages        = {799--804},
  year         = {2009}
}
@inproceedings{DBLP:conf/icdm/OjalaG09,
  author       = {Markus Ojala and
                  Gemma C. Garriga},
  title        = {Permutation Tests for Studying Classifier Performance},
  booktitle    = {{ICDM}},
  pages        = {908--913},
  publisher    = {{IEEE} Computer Society},
  year         = {2009}
}
@article{DBLP:journals/ejc/HuczynskaR08,
  author       = {Sophie Huczynska and
                  Nikola Ruskuc},
  title        = {Pattern classes of permutations via bijections between linearly ordered
                  sets},
  journal      = {Eur. J. Comb.},
  volume       = {29},
  number       = {1},
  pages        = {118--139},
  year         = {2008}
}
@article{DBLP:journals/jsc/Kohl08,
  author       = {Stefan Kohl},
  title        = {Algorithms for a class of infinite permutation groups},
  journal      = {J. Symb. Comput.},
  volume       = {43},
  number       = {8},
  pages        = {545--581},
  year         = {2008}
}
@article{DBLP:journals/tcs/DukesFMV08,
  author       = {W. M. B. Dukes and
                  Mark F. Flanagan and
                  Toufik Mansour and
                  Vincent Vajnovszki},
  title        = {Combinatorial Gray codes for classes of pattern avoiding permutations},
  journal      = {Theor. Comput. Sci.},
  volume       = {396},
  number       = {1-3},
  pages        = {35--49},
  year         = {2008}
}
@inproceedings{DBLP:conf/bmei/ZhouW08a,
  author       = {Chunxiao Zhou and
                  Yongmei Michelle Wang},
  title        = {An Efficient Permutation Approach for Classical and Bioequivalence
                  Hypothesis Testing of Biomedical Shape Study},
  booktitle    = {{BMEI} {(2)}},
  pages        = {737--741},
  publisher    = {{IEEE} Computer Society},
  year         = {2008}
}
@inproceedings{DBLP:conf/seta/CharpinK08,
  author       = {Pascale Charpin and
                  Gohar M. Kyureghyan},
  title        = {On a Class of Permutation Polynomials over F\({}_{\mbox{2\({}^{\mbox{m}}\)}}\)},
  booktitle    = {{SETA}},
  series       = {Lecture Notes in Computer Science},
  volume       = {5203},
  pages        = {368--376},
  publisher    = {Springer},
  year         = {2008}
}
@article{DBLP:journals/aam/BarceloSS07,
  author       = {H{\'{e}}l{\`{e}}ne Barcelo and
                  Bruce E. Sagan and
                  Sheila Sundaram},
  title        = {Counting permutations by congruence class of major index},
  journal      = {Adv. Appl. Math.},
  volume       = {39},
  number       = {2},
  pages        = {269--281},
  year         = {2007}
}
@article{DBLP:journals/ajc/AlbertAADHHMM07,
  author       = {Michael H. Albert and
                  Robert E. L. Aldred and
                  Mike D. Atkinson and
                  Hans P. van Ditmarsch and
                  Chris C. Handley and
                  Derek A. Holton and
                  D. J. McCaughan and
                  C. W. Monteith},
  title        = {Cyclically closed pattern classes of permutations},
  journal      = {Australas. {J} Comb.},
  volume       = {38},
  pages        = {87--100},
  year         = {2007}
}
@article{DBLP:journals/classification/VeraHM07,
  author       = {J. Fernando Vera and
                  Willem J. Heiser and
                  Alex Murillo},
  title        = {Global Optimization in Any Minkowski Metric: {A} Permutation-Translation
                  Simulated Annealing Algorithm for Multidimensional Scaling},
  journal      = {J. Classif.},
  volume       = {24},
  number       = {2},
  pages        = {277--301},
  year         = {2007}
}
@article{DBLP:journals/combinatorics/Brignall07,
  author       = {Robert Brignall},
  title        = {Wreath Products of Permutation Classes},
  journal      = {Electron. J. Comb.},
  volume       = {14},
  number       = {1},
  year         = {2007}
}
@article{DBLP:journals/ffa/YuanD07,
  author       = {Jin Yuan and
                  Cunsheng Ding},
  title        = {Four classes of permutation polynomials of F\({}_{\mbox{2\({}^{\mbox{m}}\)}}\)},
  journal      = {Finite Fields Their Appl.},
  volume       = {13},
  number       = {4},
  pages        = {869--876},
  year         = {2007}
}
@article{DBLP:journals/igtr/FragnelliLT07,
  author       = {Vito Fragnelli and
                  Natividad Llorca and
                  Stef Tijs},
  title        = {Balancedness of the Class of Infinite Permutation Games and Related
                  Classes of Games},
  journal      = {{IGTR}},
  volume       = {9},
  number       = {3},
  pages        = {425--435},
  year         = {2007}
}
@inproceedings{DBLP:conf/aaecc/Laigle-Chapuy07,
  author       = {Yann Laigle{-}Chapuy},
  title        = {A Note on a Class of Quadratic Permutations over F\({}_{\mbox{2\({}^{\mbox{n}}\)}}\)},
  booktitle    = {{AAECC}},
  series       = {Lecture Notes in Computer Science},
  volume       = {4851},
  pages        = {130--137},
  publisher    = {Springer},
  year         = {2007}
}
@inproceedings{DBLP:conf/ijcnn/KussulBM07,
  author       = {Ernst M. Kussul and
                  Tatiana Baidyk and
                  Oleksandr Makeyev},
  title        = {Pairwise Permutation Coding Neural Classifier},
  booktitle    = {{IJCNN}},
  pages        = {1847--1852},
  publisher    = {{IEEE}},
  year         = {2007}
}
@article{DBLP:journals/aam/LangleyR06,
  author       = {Thomas M. Langley and
                  Jeffrey B. Remmel},
  title        = {Enumeration of \emph{m}-tuples of permutations and a new class of
                  power bases for the space of symmetric functions},
  journal      = {Adv. Appl. Math.},
  volume       = {36},
  number       = {1},
  pages        = {30--66},
  year         = {2006}
}
@article{DBLP:journals/combinatorics/HuczynskaV06,
  author       = {Sophie Huczynska and
                  Vincent Vatter},
  title        = {Grid Classes and the Fibonacci Dichotomy for Restricted Permutations},
  journal      = {Electron. J. Comb.},
  volume       = {13},
  number       = {1},
  year         = {2006}
}
@article{DBLP:journals/ieicet/JiangHSH06,
  author       = {Xiaohong Jiang and
                  Pin{-}Han Ho and
                  Hong Shen and
                  Susumu Horiguchi},
  title        = {A Class of Benes-Based Optical Multistage Interconnection Networks
                  for Crosstalk-Free Realization of Permutations},
  journal      = {{IEICE} Trans. Commun.},
  volume       = {89-B},
  number       = {1},
  pages        = {19--27},
  year         = {2006}
}
@article{DBLP:journals/lisp/Norrish06,
  author       = {Michael Norrish},
  title        = {Mechanising lambda-calculus using a classical first order theory of
                  terms with permutations},
  journal      = {High. Order Symb. Comput.},
  volume       = {19},
  number       = {2-3},
  pages        = {169--195},
  year         = {2006}
}
@article{DBLP:journals/mbec/FrankPSH06,
  author       = {Birgit Frank and
                  Bernd Pompe and
                  Uwe Schneider and
                  Dirk Hoyer},
  title        = {Permutation entropy improves fetal behavioural state classification
                  based on heart rate analysis from biomagnetic recordings in near term
                  fetuses},
  journal      = {Medical Biol. Eng. Comput.},
  volume       = {44},
  number       = {3},
  pages        = {179--187},
  year         = {2006}
}
@article{DBLP:journals/arscom/ClaessonM05,
  author       = {Anders Claesson and
                  Toufik Mansour},
  title        = {Enumerating Permutations Avoiding {A} Pair Of Babson-Steingrimsson
                  Patterns},
  journal      = {Ars Comb.},
  volume       = {77},
  year         = {2005}
}
@article{DBLP:journals/classification/MurilloVH05,
  author       = {Alex Murillo and
                  J. Fernando Vera and
                  Willem J. Heiser},
  title        = {A Permutation-Translation Simulated Annealing Algorithm for L\({}_{\mbox{1}}\)
                  and L\({}_{\mbox{2}}\) Unidimensional Scaling},
  journal      = {J. Classif.},
  volume       = {22},
  number       = {1},
  pages        = {119--138},
  year         = {2005}
}
@article{DBLP:journals/combinatorics/Claesson05,
  author       = {Anders Claesson},
  title        = {Counting Segmented Permutations Using Bicoloured Dyck Paths},
  journal      = {Electron. J. Comb.},
  volume       = {12},
  year         = {2005}
}
@article{DBLP:journals/combinatorics/Le05,
  author       = {Ian Le},
  title        = {Wilf Classes of Pairs of Permutations of Length 4},
  journal      = {Electron. J. Comb.},
  volume       = {12},
  year         = {2005}
}
@article{DBLP:journals/dmtcs/Atkinson05,
  author       = {Mike D. Atkinson},
  title        = {Some equinumerous pattern-avoiding classes of permutations},
  journal      = {Discret. Math. Theor. Comput. Sci.},
  volume       = {7},
  number       = {1},
  pages        = {71--74},
  year         = {2005}
}
@article{DBLP:journals/ffa/HollmannX05,
  author       = {Henk D. L. Hollmann and
                  Qing Xiang},
  title        = {A class of permutation polynomials of F\({}_{\mbox{2\({}^{\mbox{m}}\)}}\)
                  related to Dickson polynomials},
  journal      = {Finite Fields Their Appl.},
  volume       = {11},
  number       = {1},
  pages        = {111--122},
  year         = {2005}
}
@article{DBLP:journals/jors/FraminanGL05,
  author       = {Jose M. Frami{\~{n}}an and
                  Jatinder N. D. Gupta and
                  Rainer Leisten},
  title        = {A review and classification of heuristics for permutation flow-stop
                  scheduling with makespan objective},
  journal      = {J. Oper. Res. Soc.},
  volume       = {56},
  number       = {3},
  pages        = {351},
  year         = {2005}
}
@inproceedings{DBLP:conf/colt/GollandLMP05,
  author       = {Polina Golland and
                  Feng Liang and
                  Sayan Mukherjee and
                  Dmitry Panchenko},
  title        = {Permutation Tests for Classification},
  booktitle    = {{COLT}},
  series       = {Lecture Notes in Computer Science},
  volume       = {3559},
  pages        = {501--515},
  publisher    = {Springer},
  year         = {2005}
}
@article{DBLP:journals/ijmmsc/Du04,
  author       = {Bau{-}Sen Du},
  title        = {On the class of square Petrie matrices induced by cyclic permutations},
  journal      = {Int. J. Math. Math. Sci.},
  volume       = {2004},
  number       = {31},
  pages        = {1617--1622},
  year         = {2004}
}
@article{DBLP:journals/jors/FraminanGL04,
  author       = {Jose M. Frami{\~{n}}an and
                  Jatinder N. D. Gupta and
                  Rainer Leisten},
  title        = {A review and classification of heuristics for permutation flow-shop
                  scheduling with makespan objective},
  journal      = {J. Oper. Res. Soc.},
  volume       = {55},
  number       = {12},
  pages        = {1243--1255},
  year         = {2004}
}
@article{DBLP:journals/tcs/Klazar04,
  author       = {Martin Klazar},
  title        = {On the least exponential growth admitting uncountably many closed
                  permutation classes},
  journal      = {Theor. Comput. Sci.},
  volume       = {321},
  number       = {2-3},
  pages        = {271--281},
  year         = {2004}
}
@inproceedings{DBLP:conf/coco/ArvindV04,
  author       = {Vikraman Arvind and
                  T. C. Vijayaraghavan},
  title        = {Abelian Permutation Group Problems and Logspace Counting Classes},
  booktitle    = {{CCC}},
  pages        = {204--214},
  publisher    = {{IEEE} Computer Society},
  year         = {2004}
}
@inproceedings{DBLP:conf/iadis/Bukhatwa04,
  author       = {Faheem Bukhatwa},
  title        = {High Cost Elimination Method for Best Class Permutation in Acces Lists},
  booktitle    = {{ICWI}},
  pages        = {287--294},
  publisher    = {{IADIS}},
  year         = {2004}
}
@article{DBLP:journals/bioinformatics/Pan03,
  author       = {Wei Pan},
  title        = {On the Use of Permutation in and the Performance of {A} Class of Nonparametric
                  Methods to Detect Differential Gene Expression},
  journal      = {Bioinform.},
  volume       = {19},
  number       = {11},
  pages        = {1333--1340},
  year         = {2003}
}
@article{DBLP:journals/cmpb/DallasR03,
  author       = {Michael J. Dallas and
                  P. V. Rao},
  title        = {Computing P-values for a class of permutation tests of equal survival
                  functions},
  journal      = {Comput. Methods Programs Biomed.},
  volume       = {71},
  number       = {2},
  pages        = {149--153},
  year         = {2003}
}
@article{DBLP:journals/dm/ClaessonGW03,
  author       = {Anders Claesson and
                  Chris D. Godsil and
                  David G. Wagner},
  title        = {A permutation group determined by an ordered set},
  journal      = {Discret. Math.},
  volume       = {269},
  number       = {1-3},
  pages        = {273--279},
  year         = {2003}
}
@article{DBLP:journals/ml/HsingAD03,
  author       = {Tailen Hsing and
                  Sanju Attoor and
                  Edward R. Dougherty},
  title        = {Relation Between Permutation-Test {P} Values and Classifier Error
                  Estimates},
  journal      = {Mach. Learn.},
  volume       = {52},
  number       = {1-2},
  pages        = {11--30},
  year         = {2003}
}
@article{DBLP:journals/tpds/YangW03a,
  author       = {Yuanyuan Yang and
                  Jianchao Wang},
  title        = {Routing Permutations with Link-Disjoint and Node-Disjoint Paths in
                  a Class of Self-Routable Interconnects},
  journal      = {{IEEE} Trans. Parallel Distributed Syst.},
  volume       = {14},
  number       = {4},
  pages        = {383--393},
  year         = {2003}
}
@inproceedings{DBLP:conf/cp/Mancini03,
  author       = {Toni Mancini},
  title        = {Reformulation Techniques for a Class of Permutation Problems},
  booktitle    = {{CP}},
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