Strong spatial mixing of $q$-colorings on Bethe lattices

Qi Ge; Daniel Stefankovic

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arXiv · 1102.2886

Strong spatial mixing of $q$-colorings on Bethe lattices

Qi Ge·Daniel Stefankovic

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Abstract

We investigate the problem of strong spatial mixing of $q$-colorings on Bethe lattices. By analyzing the sum-product algorithm we establish the strong spatial mixing of $q$-colorings on $(b+1)$-regular Bethe lattices, for $q \geq 1+\lceil 1.764b \rceil$. We also establish the strong spatial mixing of $q$-colorings on binary trees, for $q=4$.

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Qi Ge, Daniel Stefankovic. 2011-11-03. Strong spatial mixing of $q$-colorings on Bethe lattices. https://arxiv.org/abs/1102.2886

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