Asymptotics of the total chromatic number for multigraphs

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Abstract

For loopless multigraphs, the total chromatic number is asymptotically its fractional counterpart as the latter invariant tends to infinity. The proof of this is based on a recent theorem of Kahn establishing the analogous asymptotic behaviour of the list-chromatic index for multigraphs.

Original languageEnglish
Pages (from-to)279-281
Number of pages3
JournalAustralasian Journal of Combinatorics
Volume19
StatePublished - 1999

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