List edge-colouring and total colouring in graphs of low treewidth

Published 12 Nov 2013 in math.CO | (1311.2969v1)

Abstract: We prove that the list chromatic index of a graph of maximum degree $\Delta$ and treewidth $\leq \sqrt{2\Delta} -3$ is $\Delta$; and that the total chromatic number of a graph of maximum degree $\Delta$ and treewidth $\leq \Delta/3 +1$ is $\Delta +1$. This improves results by Meeks and Scott.

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