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MFCS
2005
Springer
13 years 11 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 5 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
ISTCS
1993
Springer
13 years 9 months ago
Random Walks on Colored Graphs
This thesis introduces a model of a random walk on a colored undirected graph. Such a graph has a single vertex set and   distinct sets of edges, each of which has a color. A par...
Anne Condon, Diane Hernek
MST
2010
98views more  MST 2010»
13 years 4 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...