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Star coloring bipartite planar graphs

✍ Scribed by H. A. Kierstead; André Kündgen; Craig Timmons

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 139 KB
Volume: 60
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.20342

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✦ Synopsis

Abstract

A star coloring of a graph is a proper vertex‐coloring such that no path on four vertices is 2‐colored. We prove that the vertices of every bipartite planar graph can be star colored from lists of size 14, and we give an example of a bipartite planar graph that requires at least eight colors to star color. © 2008 Wiley Periodicals, Inc. J Graph Theory 60: 1–10, 2009

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