Critical graphs for clique-coloring
โ Scribed by Meziane Aider; Sylvain Gravier
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 241 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1571-0653
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## Abstract In this paper we investigate the problem of cliqueโcoloring, which consists in coloring the vertices of a graph in such a way that no monochromatic maximal clique appears, and we focus on oddโholeโfree graphs. On the one hand we do not know any oddโholeโfree graph that is not 3โcliqueโc
Clique-gated graphs form an extension of quasi-median graphs. Two characterizations of these graphs are given and some other structural properties are obtained. An O(nm) algorithm is presented which recognizes clique-gated graphs. Here n and m denote the numbers of vertices and edges of a given grap