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arXiv:1703.06121 [math.PR]AbstractReferencesReviewsResources

Mixing time of Markov chains for the uniform 1-2 model

Zhongyang Li

Published 2017-03-17Version 1

A 1-2 model configuration is a subgraph of the hexagonal lattice satisfying the constraint that each vertex is incident to 1 or 2 edges in the subgraph. We introduce Markov chains to sample the 1-2 model configurations on finite hexagonal graphs under the uniform probability measure, and prove that the mixing time of these chains is polynomial in the size of the graphs.

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