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» The Glauber Dynamics for Colourings of Bounded Degree Trees
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APPROX
2009
Springer
80views Algorithms» more  APPROX 2009»
13 years 11 months ago
The Glauber Dynamics for Colourings of Bounded Degree Trees
Brendan Lucier, Michael Molloy, Yuval Peres
CORR
2008
Springer
91views Education» more  CORR 2008»
13 years 4 months ago
The Mixing Time of Glauber Dynamics for Colouring Regular Trees
We consider Metropolis Glauber dynamics for sampling proper qcolourings of the n-vertex complete b-ary tree when 3 q b/2 ln(b). We give both upper and lower bounds on the mixing...
Leslie Ann Goldberg, Mark Jerrum, Marek Karpinski
DMTCS
2006
66views Mathematics» more  DMTCS 2006»
13 years 4 months ago
On randomly colouring locally sparse graphs
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...
Alan M. Frieze, Juan Vera
FOCS
2003
IEEE
13 years 10 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
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