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» Randomly Coloring Constant Degree Graphs
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MFCS
2005
Springer
14 years 2 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
AINA
2010
IEEE
14 years 1 months ago
The Power of Orientation in Symmetry-Breaking
—Symmetry breaking is a fundamental operation in distributed computing. It has applications to important problems such as graph vertex and edge coloring, maximal independent sets...
Satya Krishna Pindiproli, Kishore Kothapalli
MST
2010
98views more  MST 2010»
13 years 7 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...
JGT
2010
81views more  JGT 2010»
13 years 7 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
PODC
2010
ACM
14 years 13 days ago
Deterministic distributed vertex coloring in polylogarithmic time
Consider an n-vertex graph G = (V, E) of maximum degree ∆, and suppose that each vertex v ∈ V hosts a processor. The processors are allowed to communicate only with their neig...
Leonid Barenboim, Michael Elkin