Regular ArticleUnique Maximum Matching Algorithms☆
References (31)
Algorithmic proofs of two relations between connectivity and the 1-factors of a graph
Discrete Math.
(1979)- et al.
A linear time algorithm for a special case of disjoint set union
J. Comput. System Sci.
(1985) - et al.
A data structure for dynamic trees
J. Comput. System Sci.
(1983) Decremental dynamic connectivity
J. Algorithms
(1999)- et al.
Minimizing diameters of dynamic trees
Proc. 24th International Colloquium on Automata, Languages, and Programming (ICALP)
(1997) - et al.
Maintaining center and median in dynamic trees
Proc. 7th Scandinavian Workshop on Algorithm Theory (SWAT)
(2000) - et al.
An analysis of alternative strategies for implementing matching algorithms
Networks
(1983) - et al.
Efficient algorithms for Petersen's matching theorem
Proc. 10th Annual ACM–SIAM Symposium on Discrete Algorithms
(1999) - et al.
Graph-theoretic approach to RNA modeling using comparative data
Proc. 3rd International Conference on Intelligent Systems for Molecular Biology
(1995) Maximum matching and a polyhedron with 0, 1-vertices
J. Res. Nat. Bur. Standards
(1965)
Paths, trees, and flowers
Canad. J. Math.
Data structures for on-line updating of minimum spanning trees, with applications
SIAM J. Comput.
An efficient reduction technique for degree-constrained subgraph and bidirected network flow problems
Proc. 15th Annual ACM Symposium on Theory of Computing
Unique maximum matching algorithms
Proc. 31st Annual ACM Symposium on Theory of Computing
Faster scaling algorithms for general graph matching problems
J. Assoc. Comput. Mach.
Cited by (44)
On some graphs with a unique perfect matching
2018, Information Processing LettersCitation Excerpt :Our algorithm is based on the folklore proof of Sumner's result [13] that connected claw-free graphs of even order have a perfect matching, and it is conceptually simpler than the divide-and-conquer strategy applied in [3]. Together with the result from [7] this implies that for claw-free graphs the existence of a unique perfect matching can be decided in linear time. Finally, we give a constructive characterization of claw-free graphs with a unique perfect matching.
Are unique subgraphs not easier to find?
2018, Information Processing LettersMaximum matchings in scale-free networks with identical degree distribution
2017, Theoretical Computer ScienceCitation Excerpt :Thus, it is of great interest to find specific graphs for which the maximum matching problem can be solved exactly [3]. In the past decades, the problems related maximum matchings have attracted considerable attention from the community of mathematics and theoretical computer science [9–28]. A vast majority of previous works about maximum matchings focused on regular graphs or random graphs [9,21,24,27], which cannot well describe realistic networks.
Optimal Decremental Connectivity in Non-Sparse Graphs
2023, Leibniz International Proceedings in Informatics, LIPIcsSplay Top Trees
2022, arXiv
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A preliminary version of part of our work was presented at the 31st Annual ACM Symposium on Theory of Computing [11].
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Research at Princeton University partially supported by NSF Grant CCR-9626862.