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2020 – today
- 2022
[i19]Vignesh Manoharan, Vijaya Ramachandran:
Near Optimal Bounds for Replacement Paths and Related Problems in the CONGEST Model. CoRR abs/2205.14797 (2022)- 2021
- [c79]Vijaya Ramachandran, Elaine Shi:
Data Oblivious Algorithms for Multicores. SPAA 2021: 373-384 - [i18]Gerth Stølting Brodal, John Iacono, Markus E. Nebel, Vijaya Ramachandran:
Scalable Data Structures (Dagstuhl Seminar 21071). Dagstuhl Reports 11(1): 1-23 (2021) - 2020
- [c78]Udit Agarwal, Vijaya Ramachandran:
Faster Deterministic All Pairs Shortest Paths in Congest Model. SPAA 2020: 11-21 - [i17]Udit Agarwal, Vijaya Ramachandran:
Faster Deterministic All Pairs Shortest Paths in Congest Model. CoRR abs/2005.09588 (2020) - [i16]Vijaya Ramachandran, Elaine Shi:
Data Oblivious Algorithms for Multicores. CoRR abs/2008.00332 (2020) - [i15]Vijaya Ramachandran, Elaine Shi:
Data Oblivious Algorithms for Multicores. IACR Cryptol. ePrint Arch. 2020: 947 (2020)
2010 – 2019
- 2019
- [c77]Udit Agarwal, Vijaya Ramachandran:
Distributed Weighted All Pairs Shortest Paths Through Pipelining. IPDPS 2019: 23-32 - [c76]Loc Hoang, Matteo Pontecorvi, Roshan Dathathri, Gurbinder Gill, Bozhi You, Keshav Pingali, Vijaya Ramachandran:
A round-efficient distributed betweenness centrality algorithm. PPoPP 2019: 272-286 - 2018
- [j48]Valentin Polischchuk, Vijaya Ramachandran, Rezaul Alam Chowdhury:
Editorial: ALENEX 2017 Special Issue. ACM J. Exp. Algorithmics 23 (2018) - [j47]Rezaul Alam Chowdhury, Vijaya Ramachandran:
Cache-Oblivious Buffer Heap and Cache-Efficient Computation of Shortest Paths in Graphs. ACM Trans. Algorithms 14(1): 1:1-1:33 (2018) - [c75]Udit Agarwal, Vijaya Ramachandran, Valerie King, Matteo Pontecorvi:
A Deterministic Distributed Algorithm for Exact Weighted All-Pairs Shortest Paths in Õ(n 3/2 ) Rounds. PODC 2018: 199-205 - [c74]Udit Agarwal, Vijaya Ramachandran:
Fine-grained complexity for sparse graphs. STOC 2018: 239-252 - [i14]Udit Agarwal, Vijaya Ramachandran, Valerie King, Matteo Pontecorvi:
A Deterministic Distributed Algorithm for Exact Weighted All-Pairs Shortest Paths in O͠(n3/2) Rounds. CoRR abs/1804.05441 (2018) - [i13]Matteo Pontecorvi, Vijaya Ramachandran:
Distributed Algorithms for Directed Betweenness Centrality and All Pairs Shortest Paths. CoRR abs/1805.08124 (2018) - [i12]Udit Agarwal, Vijaya Ramachandran:
A Faster Deterministic Distributed Algorithm for Weighted APSP Through Pipelining. CoRR abs/1807.08824 (2018) - [i11]Udit Agarwal, Vijaya Ramachandran:
New and Simplified Distributed Algorithms for Weighted All Pairs Shortest Paths. CoRR abs/1810.08544 (2018) - 2017
- [j46]Richard Cole, Vijaya Ramachandran:
Resource Oblivious Sorting on Multicores. ACM Trans. Parallel Comput. 3(4): 23:1-23:31 (2017) - [c73]Richard Cole, Vijaya Ramachandran:
Bounding Cache Miss Costs of Multithreaded Computations Under General Schedulers: Extended Abstract. SPAA 2017: 351-362 - [e3]Sándor P. Fekete, Vijaya Ramachandran:
Proceedings of the Ninteenth Workshop on Algorithm Engineering and Experiments, ALENEX 2017, Barcelona, Spain, Hotel Porta Fira, January 17-18, 2017. SIAM 2017, ISBN 978-1-61197-476-8 [contents] - [i10]Richard Cole, Vijaya Ramachandran:
Bounding Cache Miss Costs of Multithreaded Computations Under General Schedulers. CoRR abs/1705.08350 (2017) - 2016
- [c72]Udit Agarwal, Vijaya Ramachandran:
Finding k Simple Shortest Paths and Cycles. ISAAC 2016: 8:1-8:12 - [r2]Vijaya Ramachandran:
Randomized Minimum Spanning Tree. Encyclopedia of Algorithms 2016: 1747-1750 - [i9]Udit Agarwal, Vijaya Ramachandran:
Fine-Grained Complexity and Conditional Hardness for Sparse Graphs. CoRR abs/1611.07008 (2016) - 2015
- [c71]Matteo Pontecorvi, Vijaya Ramachandran:
Fully Dynamic Betweenness Centrality. ISAAC 2015: 331-342 - [i8]Matteo Pontecorvi, Vijaya Ramachandran:
A Faster Algorithm for Fully Dynamic Betweenness Centrality. CoRR abs/1506.05783 (2015) - [i7]Richard Cole, Vijaya Ramachandran:
Resource Oblivious Sorting on Multicores. CoRR abs/1508.01504 (2015) - [i6]Udit Agarwal, Vijaya Ramachandran:
Finding $k$ Simple Shortest Paths and Cycles. CoRR abs/1512.02157 (2015) - 2014
- [c70]Meghana Nasre
, Matteo Pontecorvi, Vijaya Ramachandran:
Decremental All-Pairs ALL Shortest Paths and Betweenness Centrality. ISAAC 2014: 766-778 - [c69]Meghana Nasre, Matteo Pontecorvi, Vijaya Ramachandran:
Betweenness Centrality - Incremental and Faster. MFCS (2) 2014: 577-588 - [i5]Meghana Nasre, Matteo Pontecorvi, Vijaya Ramachandran:
Decremental All-Pairs ALL Shortest Paths and Betweenness Centrality. CoRR abs/1411.4073 (2014) - [i4]Matteo Pontecorvi, Vijaya Ramachandran:
Fully Dynamic All Pairs All Shortest Paths. CoRR abs/1412.3852 (2014) - 2013
- [j45]Rezaul Alam Chowdhury, Vijaya Ramachandran, Francesco Silvestri, Brandon Blakeley:
Oblivious algorithms for multicores and networks of processors. J. Parallel Distributed Comput. 73(7): 911-925 (2013) - [c68]Richard Cole, Vijaya Ramachandran:
Analysis of Randomized Work Stealing with False Sharing. IPDPS 2013: 985-998 - [i3]Meghana Nasre, Matteo Pontecorvi, Vijaya Ramachandran:
Betweenness Centrality - Incremental and Faster. CoRR abs/1311.2147 (2013) - 2012
- [c67]Richard Cole, Vijaya Ramachandran:
Efficient Resource Oblivious Algorithms for Multicores with False Sharing. IPDPS 2012: 201-214 - [c66]Anil Kumar Katti, Vijaya Ramachandran:
Competitive Cache Replacement Strategies for Shared Cache Environments. IPDPS 2012: 215-226 - [c65]Richard Cole, Vijaya Ramachandran:
Revisiting the Cache Miss Analysis of Multithreaded Algorithms. LATIN 2012: 172-183 - [c64]Faith Ellen, Vijaya Ramachandran, Philipp Woelfel:
Efficient Fetch-and-Increment. DISC 2012: 16-30 - 2011
- [i2]Richard Cole, Vijaya Ramachandran:
Efficient Resource Oblivious Algorithms for Multicores. CoRR abs/1103.4071 (2011) - [i1]Richard Cole, Vijaya Ramachandran:
Analysis of Randomized Work Stealing with False Sharing. CoRR abs/1103.4142 (2011) - 2010
- [j44]Rezaul Alam Chowdhury, Vijaya Ramachandran:
The Cache-Oblivious Gaussian Elimination Paradigm: Theoretical Framework, Parallelization and Experimental Evaluation. Theory Comput. Syst. 47(4): 878-919 (2010) - [j43]Rezaul Alam Chowdhury, Hai-Son Le, Vijaya Ramachandran:
Cache-Oblivious Dynamic Programming for Bioinformatics. IEEE ACM Trans. Comput. Biol. Bioinform. 7(3): 495-510 (2010) - [c63]Richard Cole, Vijaya Ramachandran:
Resource Oblivious Sorting on Multicores. ICALP (1) 2010: 226-237 - [c62]Rezaul Alam Chowdhury, Francesco Silvestri, Brandon Blakeley, Vijaya Ramachandran:
Oblivious algorithms for multicores and network of processors. IPDPS 2010: 1-12 - [c61]Phong Chuong, Faith Ellen, Vijaya Ramachandran:
A universal construction for wait-free transaction friendly data structures. SPAA 2010: 335-344
2000 – 2009
- 2009
- [j42]Shimin Chen, Michael Kozuch, Phillip B. Gibbons, Michael P. Ryan, Theodoros Strigkos, Todd C. Mowry, Olatunji Ruwase, Evangelos Vlachos, Babak Falsafi, Vijaya Ramachandran:
Flexible Hardware Acceleration for Instruction-Grain Lifeguards. IEEE Micro 29(1): 62-72 (2009) - 2008
- [j41]Camil Demetrescu, Mikkel Thorup, Rezaul Alam Chowdhury, Vijaya Ramachandran:
Oracles for Distances Avoiding a Failed Node or Link. SIAM J. Comput. 37(5): 1299-1318 (2008) - [j40]Seth Pettie, Vijaya Ramachandran:
Randomized minimum spanning tree algorithms using exponentially fewer random bits. ACM Trans. Algorithms 4(1): 5:1-5:27 (2008) - [c60]Shimin Chen, Michael Kozuch, Theodoros Strigkos, Babak Falsafi, Phillip B. Gibbons, Todd C. Mowry, Vijaya Ramachandran, Olatunji Ruwase, Michael P. Ryan, Evangelos Vlachos:
Flexible Hardware Acceleration for Instruction-Grain Program Monitoring. ISCA 2008: 377-388 - [c59]Guy E. Blelloch, Rezaul Alam Chowdhury, Phillip B. Gibbons, Vijaya Ramachandran, Shimin Chen, Michael Kozuch:
Provably good multicore cache performance for divide-and-conquer algorithms. SODA 2008: 501-510 - [c58]Olatunji Ruwase, Phillip B. Gibbons, Todd C. Mowry, Vijaya Ramachandran, Shimin Chen, Michael Kozuch, Michael P. Ryan:
Parallelizing dynamic information flow tracking. SPAA 2008: 35-45 - [c57]Rezaul Alam Chowdhury, Vijaya Ramachandran:
Cache-efficient dynamic programming algorithms for multicores. SPAA 2008: 207-216 - [r1]Vijaya Ramachandran:
Randomized Minimum Spanning Tree. Encyclopedia of Algorithms 2008 - 2007
- [j39]Daniel Fernholz, Vijaya Ramachandran:
The diameter of sparse random graphs. Random Struct. Algorithms 31(4): 482-516 (2007) - [c56]Vijaya Ramachandran:
Cache-Oblivious Computation: Algorithms and Experimental Evaluation. ICCTA 2007: 20-26 - [c55]Daniel Fernholz, Vijaya Ramachandran:
The k-orientability thresholds for Gn, p. SODA 2007: 459-468 - [c54]Rezaul Alam Chowdhury, Vijaya Ramachandran:
The cache-oblivious gaussian elimination paradigm: theoretical framework, parallelization and experimental evaluation. SPAA 2007: 71-80 - 2006
- [j38]Ganeshkumar Ganapathy, Barbara Goodson, Robert K. Jansen, Hai-Son Le, Vijaya Ramachandran, Tandy J. Warnow:
Pattern Identification in Biogeography. IEEE ACM Trans. Comput. Biol. Bioinform. 3(4): 334-346 (2006) - [c53]Rezaul Alam Chowdhury, Vijaya Ramachandran:
Cache-oblivious dynamic programming. SODA 2006: 591-600 - [c52]Rezaul Alam Chowdhury, Vijaya Ramachandran:
The cache-oblivious gaussian elimination paradigm: theoretical framework and experimental evaluation. SPAA 2006: 236 - 2005
- [j37]Seth Pettie, Vijaya Ramachandran:
A Shortest Path Algorithm for Real-Weighted Undirected Graphs. SIAM J. Comput. 34(6): 1398-1431 (2005) - [c51]Rezaul Alam Chowdhury, Vijaya Ramachandran:
External-memory exact and approximate all-pairs shortest-paths in undirected graphs. SODA 2005: 735-744 - [c50]Ganeshkumar Ganapathy, Barbara Goodson, Robert K. Jansen, Vijaya Ramachandran, Tandy J. Warnow:
Pattern Identification in Biogeography. WABI 2005: 116-127 - 2004
- [c49]Amit Prakash, Adnan Aziz, Vijaya Ramachandran:
Randomized Parallel Schedulers for Switch-Memory-Switch Routers: Analysis and Numerical Studies. INFOCOM 2004: 2026-2037 - [c48]Ganeshkumar Ganapathy, Vijaya Ramachandran, Tandy J. Warnow:
On contract-and-refine transformations between phylogenetic trees. SODA 2004: 900-909 - [c47]Rezaul Alam Chowdhury, Vijaya Ramachandran:
Cache-oblivious shortest paths in graphs using buffer heap. SPAA 2004: 245-254 - 2003
- [j36]Vijaya Ramachandran, Brian Grayson, Michael Dahlin:
Emulations between QSM, BSP and LogP: a framework for general-purpose parallel algorithm design. J. Parallel Distributed Comput. 63(12): 1175-1192 (2003) - [c46]Adnan Aziz, Amit Prakash, Vijaya Ramachandran:
A near optimal scheduler for switch-memory-switch routers. SPAA 2003: 343-352 - [c45]Ganeshkumar Ganapathy, Vijaya Ramachandran, Tandy J. Warnow:
Better Hill-Climbing Searches for Parsimony. WABI 2003: 245-258 - 2002
- [j35]Madhukar R. Korupolu, Vijaya Ramachandran:
Quasi-Fully Dynamic Algorithms for Two-Connectivity and Cycle Equivalence. Algorithmica 33(2): 168-182 (2002) - [j34]Seth Pettie, Vijaya Ramachandran:
An optimal minimum spanning tree algorithm. J. ACM 49(1): 16-34 (2002) - [j33]Vijaya Ramachandran, Ramesh K. Sitaraman:
SPAA 1999 - Guest Editors' Foreword. Theory Comput. Syst. 35(2): 97 (2002) - [j32]Seth Pettie, Vijaya Ramachandran:
A Randomized Time-Work Optimal Parallel Algorithm for Finding a Minimum Spanning Forest. SIAM J. Comput. 31(6): 1879-1895 (2002) - [c44]Seth Pettie, Vijaya Ramachandran, Srinath Sridhar:
Experimental Evaluation of a New Shortest Path Algorithm. ALENEX 2002: 126-142 - [c43]Rezaul Alam Chowdhury, Vijaya Ramachandran:
Improved Distance Oracles for Avoiding Link-Failure. ISAAC 2002: 523-534 - [c42]Seth Pettie, Vijaya Ramachandran:
Computing shortest paths with comparisons and additions. SODA 2002: 267-276 - [c41]Seth Pettie, Vijaya Ramachandran:
Minimizing randomness in minimum spanning tree, parallel connectivity, and set maxima algorithms. SODA 2002: 713-722 - [c40]Xiaoyu Zhang, Chandrajit Bajaj, Vijaya Ramachandran:
Parallel and Out-of-core View-dependent Isocontour Visualization Using Random Data Distribution. VisSym 2002: 9-18 - 2001
- [c39]Vijaya Ramachandran:
Parallel Algorithm Design with Coarse-Grained Synchronization. International Conference on Computational Science (2) 2001: 619-627 - 2000
- [c38]Seth Pettie, Vijaya Ramachandran:
An Optimal Minimum Spanning Tree Algorithm. ICALP 2000: 49-60
1990 – 1999
- 1999
- [j31]Micah Adler, Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
Modeling Parallel Bandwidth: Local versus Global Restrictions. Algorithmica 24(3-4): 381-404 (1999) - [j30]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
Can a Shared-Memory Model Serve as a Bridging Model for Parallel Computation? Theory Comput. Syst. 32(3): 327-359 (1999) - [c37]Brian Grayson, Michael Dahlin, Vijaya Ramachandran:
Experimental Evaluation of QSM, a Simple Shared-Memory Model. IPPS/SPDP 1999: 130-136 - [c36]Seth Pettie, Vijaya Ramachandran:
A Randomized Time-Work Optimal Parallel Algorithm for Finding a Minimum Spanning Forest. RANDOM-APPROX 1999: 233-244 - [c35]Vijaya Ramachandran, Brian Grayson, Michael Dahlin:
Emulations Between QSM, BSP, and LogP: A Framework for General-Purpose Parallel Algorithm Design. SODA 1999: 957-958 - [e2]Gary L. Miller, Vijaya Ramachandran:
Proceedings of the Eleventh Annual ACM Symposium on Parallel Algorithms and Architectures, SPAA '99, Saint-Malo, France, June 27-30, 1999. ACM 1999, ISBN 1-58113-124-0 [contents] - 1998
- [j29]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
The Queue-Read Queue-Write PRAM Model: Accounting for Contention in Parallel Algorithms. SIAM J. Comput. 28(2): 733-769 (1998) - [j28]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
The Queue-Read Queue-Write Asynchronous PRAM Model. Theor. Comput. Sci. 196(1-2): 3-29 (1998) - [j27]Philip D. MacKenzie, Vijaya Ramachandran:
ERCW PRAMs and Optical Communication. Theor. Comput. Sci. 196(1-2): 153-180 (1998) - [c34]Philip D. MacKenzie, Vijaya Ramachandran:
Computational Bounds for Fundamental Problems on General-Purpose Parallel Models. SPAA 1998: 152-163 - 1997
- [j26]Vijaya Ramachandran, Honghua Yang:
An Efficient Parallel Algorithm for the Layered Planar Monotone Circuit Value Problem. Algorithmica 18(3): 384-404 (1997) - [j25]Valerie King, Chung Keung Poon, Vijaya Ramachandran, Santanu Sinha:
An Optimal EREW PRAM Algorithm for Minimum Spanning Tree Verification. Inf. Process. Lett. 62(3): 153-159 (1997) - [j24]Vijaya Ramachandran:
Parallel Algorithms for Reducible Flow Graphs. J. Algorithms 23(1): 1-31 (1997) - [c33]Madhukar R. Korupolu, Vijaya Ramachandran:
Quasi-Fully Dynamic Algorithms for Two-Connectivity, Cycle Equivalence and Related Problems. ESA 1997: 326-340 - [c32]Vijaya Ramachandran:
QSM: A General Purpose Shared-Memory Model for Parallel Computation. FSTTCS 1997: 1-5 - [c31]Chung Keung Poon, Vijaya Ramachandran:
A Randomized Linear Work EREW PRAM Algorithm to Find a Minimum Spanning Forest. ISAAC 1997: 212-222 - [c30]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
Can Shared-Memory Model Serve as a Bridging Model for Parallel Computation? SPAA 1997: 72-83 - [c29]Micah Adler, Phillip B. Gibbons, Vijaya Ramachandran, Yossi Matias:
Modeling Parallel Bandwidth: Local vs. Global Restrictions. SPAA 1997: 94-105 - 1996
- [j23]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
Efficient Low-Contention Parallel Algorithms. J. Comput. Syst. Sci. 53(3): 417-442 (1996) - [j22]Vijaya Ramachandran, Honghua Yang:
An Efficient Parallel Algorithm for the General Planar Monotone Circuit Value Problem. SIAM J. Comput. 25(2): 312-339 (1996) - [j21]Tsan-sheng Hsu, Vijaya Ramachandran:
Efficient Massively Parallel Implementation of some Combinatorial Algorithms. Theor. Comput. Sci. 162(2): 297-322 (1996) - [c28]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
The Queue-Read Queue-Write Asynchronous PRAM Model. Euro-Par, Vol. II 1996: 279-292 - [c27]Philip D. MacKenzie, Vijaya Ramachandran:
ERCW PRAMs and Optical Communication. Euro-Par, Vol. II 1996: 293-302 - [c26]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
Asynchrony versus Bulk-Synchrony in QRQW PRAM model (Abstract). PODC 1996: 176 - 1995
- [j20]Pierre Kelsen, Vijaya Ramachandran:
On Finding Minimal Two-Connected Subgraphs. J. Algorithms 18(1): 1-49 (1995) - [j19]Xiaofeng Han, Pierre Kelsen, Vijaya Ramachandran, Robert Endre Tarjan:
Computing Minimal Spanning Subgraphs in Linear Time. SIAM J. Comput. 24(6): 1332-1358 (1995) - [c25]Tsan-sheng Hsu, Vijaya Ramachandran, Nathaniel Dean:
Implementation of parallel graph algorithms on a massively parallel SIMD computer with virtual processing. IPPS 1995: 106-112 - 1994
- [j18]Vijaya Ramachandran, Honghua Yang:
Finding the Closed Partition of a Planar Graph. Algorithmica 11(5): 443-468 (1994) - [j17]Jerry L. Trahan, Vijaya Ramachandran, Michael C. Loui:
Parallel Random Access Machines with both Multiplication and Shifts. Inf. Comput. 110(1): 96-118 (1994) - [j16]Vijaya Ramachandran, John H. Reif:
Planarity Testing in Parallel. J. Comput. Syst. Sci. 49(3): 517-561 (1994) - [c24]Vijaya Ramachandran:
The Design and Evaluation of Parallel Algorithms (Abstract). ACM Conference on Computer Science 1994: 413 - [c23]Tsan-sheng Hsu, Vijaya Ramachandran, Nathaniel Dean:
Parallel implementation of algorithms for finding connected components in graphs. Parallel Algorithms 1994: 23-41 - [c22]Vijaya Ramachandran, Honghua Yang:
An Efficient Parallel Algorithm for the General Planar Monotone Circuit Value Problem. SODA 1994: 622-631 - [c21]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
The QRQW PRAM: Accounting for Contention in Parallel Algorithms. SODA 1994: 638-648 - [c20]Phillip B. Gibbons, Yossi Matias, Vijaya Ramachandran:
Efficient Low-Contention Parallel Algorithms. SPAA 1994: 236-247 - 1993
- [j15]Donald S. Fussell, Vijaya Ramachandran, Ramakrishna Thurimella:
Finding Triconnected Components by Local Replacement. SIAM J. Comput. 22(3): 587-616 (1993) - [j14]Tsan-sheng Hsu, Vijaya Ramachandran:
Finding a Smallest Augmentation to Biconnect a Graph. SIAM J. Comput. 22(5): 889-912 (1993) - [c19]Vijaya Ramachandran, Honghua Yang:
An Efficient Parallel Algorithm for the Layered Planar Monotone Circuit Value Problem. ESA 1993: 321-332 - [e1]Vijaya Ramachandran:
Proceedings of the Fourth Annual ACM/SIGACT-SIAM Symposium on Discrete Algorithms, 25-27 January 1993, Austin, Texas, USA. ACM/SIAM 1993, ISBN 0-89791-562-3 [contents] - 1992
- [j13]Gary L. Miller, Vijaya Ramachandran:
A new graph triconnectivity algorithm and its parallelization. Comb. 12(1): 53-76 (1992) - [j12]Jerry L. Trahan, Michael C. Loui, Vijaya Ramachandran:
Multiplication, Division and Shift Instructions in Parallel Random Access Machines. Theor. Comput. Sci. 100(1): 1-44 (1992) - [c18]Tsan-sheng Hsu, Vijaya Ramachandran, Nathaniel Dean:
Implementation of Parallel Graph Algorithms on the MasPar. Computational Support for Discrete Mathematics 1992: 165-198 - [c17]Xiaofeng Han, Pierre Kelsen, Vijaya Ramachandran, Robert Endre Tarjan:
Computing Minimal Spanning Subgraphs in Linear Time. SODA 1992: 146-156 - 1991
- [j11]