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ESA
2001
Springer
132views Algorithms» more  ESA 2001»
15 years 7 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
127
Voted
APPROX
2010
Springer
179views Algorithms» more  APPROX 2010»
15 years 4 months ago
Rumor Spreading on Random Regular Graphs and Expanders
Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assu...
Nikolaos Fountoulakis, Konstantinos Panagiotou
129
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APPROX
2004
Springer
129views Algorithms» more  APPROX 2004»
15 years 8 months ago
The Chromatic Number of Random Regular Graphs
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...
Dimitris Achlioptas, Cristopher Moore
131
Voted
ACSC
2005
IEEE
15 years 8 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
92
Voted
CPC
2000
89views more  CPC 2000»
15 years 2 months ago
Optimal Construction Of Edge-Disjoint Paths In Random Regular Graphs
Alan M. Frieze, Lei Zhao