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Coloring plane graphs with independent crossings

✍ Scribed by Daniel Král'; Ladislav Stacho

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
268 KB
Volume
64
Category
Article
ISSN
0364-9024

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✦ Synopsis

Abstract

We show that every plane graph with maximum face size four in which all faces of size four are vertex‐disjoint is cyclically 5‐colorable. This answers a question of Albertson whether graphs drawn in the plane with all crossings independent are 5‐colorable. © 2009 Wiley Periodicals, Inc. J Graph Theory 64: 184–205, 2010

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