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arXiv · 2008.12880

Improved algorithm to determine 3-colorability of graphs with the minimum degree at least 7

Nicholas Crawford·Sogol Jahanbekam·Katerina Potika
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Abstract

Let $G$ be an $n$-vertex graph with the maximum degree $Δ$ and the minimum degree $δ$. We give algorithms with complexity $O(1.3158^{n-0.7~Δ(G)})$ and $O(1.32^{n-0.73~Δ(G)})$ that determines if $G$ is 3-colorable, when $δ(G)\geq 8$ and $δ(G)\geq 7$, respectively.

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Nicholas Crawford, Sogol Jahanbekam, Katerina Potika. 2020-08-28. Improved algorithm to determine 3-colorability of graphs with the minimum degree at least 7. https://arxiv.org/abs/2008.12880

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