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arXiv · 0904.2282

Graphs with bounded tree-width and large odd-girth are almost bipartite

Alexandr V. Kostochka·Daniel Kral'·Jean-Sebastien Sereni·Michael Stiebitz
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Abstract

We prove that for every $k$ and every $\varepsilon>0$, there exists $g$ such that every graph with tree-width at most $k$ and odd-girth at least $g$ has circular chromatic number at most $2+\varepsilon$.

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Alexandr V. Kostochka, Daniel Kral', Jean-Sebastien Sereni, Michael Stiebitz. 2009-04-15. Graphs with bounded tree-width and large odd-girth are almost bipartite. https://arxiv.org/abs/0904.2282

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