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FOCS
2004
IEEE
13 years 8 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
APPROX
2006
Springer
109views Algorithms» more  APPROX 2006»
13 years 8 months ago
Dobrushin Conditions and Systematic Scan
We consider Glauber dynamics on finite spin systems. The mixing time of Glauber dynamics can be bounded in terms of the influences of sites on each other. We consider three parame...
Martin E. Dyer, Leslie Ann Goldberg, Mark Jerrum
FOCS
1999
IEEE
13 years 8 months ago
Torpid Mixing of Some Monte Carlo Markov Chain Algorithms in Statistical Physics
We study two widely used algorithms, Glauber dynamics and the Swendsen-Wang algorithm, on rectangular subsets of the hypercubic lattice
Christian Borgs, Jennifer T. Chayes, Alan M. Friez...
MFCS
2009
Springer
13 years 9 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 rapidl...
Ivona Bezáková, William A. Rummler
FOCS
2003
IEEE
13 years 9 months ago
A Non-Markovian Coupling for Randomly Sampling Colorings
We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We...
Thomas P. Hayes, Eric Vigoda