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Randomly coloring graphs of bounded treewidth
Shai Vardi · 2017-08-09 · via cs.DS updates on arXiv.org

We consider the problem of sampling a proper $k$-coloring of a graph of maximal degree $Δ$ uniformly at random. We describe a new Markov chain for sampling colorings, and show that it mixes rapidly on graphs of bounded treewidth if $k\geq(1+ε)Δ$, for any $ε>0$.

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