ArticleOriginal scientific text
Title
Analogues of cliques for oriented coloring
Authors 1, 2
Affiliations
- Department of Computer and Information Sciences, University of North Florida, Jacksonville, FL 32224-2669, U.S.A.
- Department of Mathematics and Statistics, University of Victoria, Victoria, Canada
Abstract
We examine subgraphs of oriented graphs in the context of oriented coloring that are analogous to cliques in traditional vertex coloring. Bounds on the sizes of these subgraphs are given for planar, outerplanar, and series-parallel graphs. In particular, the main result of the paper is that a planar graph cannot contain an induced subgraph D with more than 36 vertices such that each pair of vertices in D are joined by a directed path of length at most two.
Keywords
graph coloring, oriented coloring, clique, planar graph
Bibliography
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Pages:
373-387
Main language of publication
English
Received
2002-10-15
Accepted
2004-03-11
Published
2004
DOI: 10.7151/dmgt.1237
Exact and natural sciences