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» Matching and edge-connectivity in regular graphs
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ACSC
2005
IEEE
15 years 3 months ago
Large k-Separated Matchings of Random Regular Graphs
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense)...
Mihalis Beis, William Duckworth, Michele Zito
DAM
2008
147views more  DAM 2008»
14 years 10 months ago
Efficient edge domination in regular graphs
13 An induced matching of a graph G is a matching having no two edges joined by14 an edge. An efficient edge dominating set of G is an induced matching M such that15 every other ed...
Domingos Moreira Cardoso, J. Orestes Cerdeira, Cha...
EJC
2011
14 years 4 months ago
Matching and edge-connectivity in regular graphs
Henning and Yeo proved a lower bound for the minimum size of a maximum matching in a connected k-regular graphs with n vertices; it is sharp infinitely often. In an earlier paper...
Suil O, Douglas B. West
CORR
2008
Springer
110views Education» more  CORR 2008»
14 years 10 months ago
Perfect Matchings via Uniform Sampling in Regular Bipartite Graphs
In this paper we further investigate the well-studied problem of finding a perfect matching in a regular bipartite graph. The first non-trivial algorithm, with running time O(mn),...
Ashish Goel, Michael Kapralov, Sanjeev Khanna
COMBINATORICS
2007
88views more  COMBINATORICS 2007»
14 years 9 months ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory