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» Large k-Separated Matchings of Random Regular Graphs
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ACSC
2005
IEEE
13 years 10 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
LATIN
2000
Springer
13 years 8 months ago
Small Maximal Matchings in Random Graphs
We look at the minimal size of a maximal matching in general, bipartite and
Michele Zito
RSA
2010
108views more  RSA 2010»
13 years 3 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge
JCT
2007
117views more  JCT 2007»
13 years 4 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald