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

نویسندگان

  • Henning Bruhn
  • Richard Lang
  • Maya Stein
چکیده

We prove that the list chromatic index of a graph of maximum degree ∆ and treewidth ≤ √ 2∆ − 3 is ∆; and that the total chromatic number of a graph of maximum degree ∆ and treewidth ≤ ∆/3 + 1 is ∆ + 1. This improves results by Meeks and Scott.

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تاریخ انتشار 2013