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» Resolvent of large random graphs
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SIGECOM
2006
ACM
143views ECommerce» more  SIGECOM 2006»
14 years 1 months ago
Braess's paradox in large random graphs
Braess’s Paradox is the counterintuitive but well-known fact that removing edges from a network with “selfish routing” can decrease the latency incurred by traffic in an eq...
Gregory Valiant, Tim Roughgarden
ACSC
2005
IEEE
14 years 1 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
JCT
2007
117views more  JCT 2007»
13 years 7 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
SODA
1998
ACM
91views Algorithms» more  SODA 1998»
13 years 9 months ago
Finding a Large Hidden Clique in a Random Graph
Noga Alon, Michael Krivelevich, Benny Sudakov