Publication details

Coloring Plane Graphs with Independent Crossings

Authors

KRÁĽ Daniel STACHO L

Year of publication 2010
Type Article in Periodical
Magazine / Source Journal of Graph Theory
Citation
Doi http://dx.doi.org/10.1002/jgt.20448
Keywords planar graphs; cyclic coloring; crossing number; chromatic number
Description 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. (C) 2009 Wiley Periodicals, Inc. J Graph Theory 64: 184-205. 2010

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