Rapid mixing of subset Glauber dynamics on graphs of bounded tree-width

Details Rapid mixing of subset Glauber dynamics on graphs of bounded tree-width Rapid mixing of subset Glauber dynamics on graphs of bounded tree-width

2011-02-17

arxiv.org/abs/1102.3635v1

Mathematics

Combinatorics

18 pages

Scientific paper

Motivated by the `subgraphs world' view of the ferromagnetic Ising model, we develop a general approach to studying mixing times of Glauber dynamics based on subset expansion expressions for a class of graph polynomials. With a canonical paths argument, we demonstrate that the chains defined within this framework mix rapidly upon graphs of bounded tree-width. This extends known results on rapid mixing for the Tutte polynomial, the adjacency-rank ($R_2$-)polynomial and the interlace polynomial.

Affiliated with

Also associated with

No associations

Rating

Rapid mixing of subset Glauber dynamics on graphs of bounded tree-width does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rapid mixing of subset Glauber dynamics on graphs of bounded tree-width, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rapid mixing of subset Glauber dynamics on graphs of bounded tree-width will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380914