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

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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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