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MFCS
2009
Springer

Sampling Edge Covers in 3-Regular Graphs

14 years 3 months ago
Sampling Edge Covers in 3-Regular Graphs
An edge cover C of an undirected graph is a set of edges such that every vertex has an adjacent edge in C. We show that a Glauber dynamics Markov chain for edge covers mixes rapidly for graphs with degrees at most three. Glauber dynamics have been studied extensively in the statistical physics community, with special emphasis on lattice graphs. Our results apply, for example, to the hexagonal lattice. Our proof of rapid mixing introduces a new cycle/path decomposition for the canonical flow argument.
Ivona Bezáková, William A. Rummler
Added 26 Jul 2010
Updated 26 Jul 2010
Type Conference
Year 2009
Where MFCS
Authors Ivona Bezáková, William A. Rummler
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