List edge-coloring and total coloring in graphs of low treewidth (Q2800543)
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scientific article; zbMATH DE number 6569677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | List edge-coloring and total coloring in graphs of low treewidth |
scientific article; zbMATH DE number 6569677 |
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15 April 2016
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list colouring
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total colouring
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tree width
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List edge-coloring and total coloring in graphs of low treewidth (English)
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The authors prove that if a graph has a low treewidth constrast to its maximum degree, then its list chromatic index is equal to the maximum degree and its total chromatic number is equal to the maximum degree plus 1. The result improves the known result of \textit{K. Meeks} and \textit{A. Scott} [``The parameterised complexity of list problems on graphs of bounded treewidth'', Preprint, \url{arXiv:1110.4077}].
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