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95
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CORR
2008
Springer
103views Education» more  CORR 2008»
14 years 11 months ago
Generating Random Graphs with Large Girth
We present a simple and efficient algorithm for randomly generating simple graphs without small cycles. These graphs can be used to design high performance Low-Density Parity-Chec...
Mohsen Bayati, Andrea Montanari, Amin Saberi
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
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
14 years 11 months ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
88
Voted
MFCS
2007
Springer
15 years 5 months ago
Well Supported Approximate Equilibria in Bimatrix Games: A Graph Theoretic Approach
Abstract. We study the existence and tractability of a notion of approximate equilibria in bimatrix games, called well supported approximate Nash Equilibria (SuppNE in short). We p...
Spyros C. Kontogiannis, Paul G. Spirakis
COMBINATORICA
2010
14 years 9 months ago
A randomized embedding algorithm for trees
In this paper, we propose a simple and natural randomized algorithm to embed a tree T in a given graph G. The algorithm can be viewed as a "self-avoiding tree-indexed random ...
Benny Sudakov, Jan Vondrák