Recognizing Dart-Free Perfect Graphs
✍ Scribed by Chvátal, V.; Fonlupt, J.; Sun, L.; Zemirline, A.
- Book ID
- 118180479
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2002
- Tongue
- English
- Weight
- 252 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0097-5397
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## Abstract The circular chromatic number of a graph is a well‐studied refinement of the chromatic number. Circular‐perfect graphs form a superclass of perfect graphs defined by means of this more general coloring concept. This article studies claw‐free circular‐perfect graphs. First, we prove that
The domination number γ(G) and the irredundance number ir(G) of a graph G have been considered by many authors. It is well known that ir(G) ≤ γ(G) holds for all graphs G, which leads us to consider the concept of irredundance perfect graphs: graphs that have all their induced subgraphs satisfying th