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» Resolvent of large random graphs
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SIGECOM
2006
ACM
143views ECommerce» more  SIGECOM 2006»
15 years 5 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
15 years 5 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»
14 years 11 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»
15 years 1 months ago
Finding a Large Hidden Clique in a Random Graph
Noga Alon, Michael Krivelevich, Benny Sudakov