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» Matching and edge-connectivity in regular graphs
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ACSC
2005
IEEE
14 years 16 days 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»
13 years 7 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
13 years 1 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»
13 years 7 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»
13 years 6 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