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Choosability, Edge Choosability, and Total Choosability of Outerplane Graphs

✍ Scribed by Wang Weifan; Ko-Wei Lih

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 101 KB
Volume: 22
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.2000.0430

No coin nor oath required. For personal study only.

✦ Synopsis

Let χ l (G), χ l (G), χ l (G), and (G) denote, respectively, the list chromatic number, the list chromatic index, the list total chromatic number, and the maximum degree of a non-trivial connected outerplane graph G. We prove the following results. ( 1

and only if G is an odd cycle. This proves the well-known list edge coloring conjecture for outerplane graphs.

This proves a conjecture of O. V. Borodin, A. V. Kostochka and D. R. Woodall, List edge and list total coloring of multigraphs,

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