## Abstract In this paper we investigate the problem of clique‐coloring, which consists in coloring the vertices of a graph in such a way that no monochromatic maximal clique appears, and we focus on odd‐hole‐free graphs. On the one hand we do not know any odd‐hole‐free graph that is not 3‐clique‐c
✦ LIBER ✦
Clique-coloring some classes of odd-hole-free graphs
✍ Scribed by David Défossez
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 185 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0364-9024
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We give a characterization of a hierarchy of graph classes with no long holes in which each class excludes some long antiholes. At one end of the hierarchy is the class of graphs with no long holes. At the other end is the class of weakly triangulated graphs. The characterization has the flavor of t