A lower bound for the chromatic capacity in terms of the chromatic number of a graph
β Scribed by Zhou, Bing
- Book ID
- 120663747
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 369 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give an upper bound on the chromatic number of a graph in terms of its maximum degree and the size of the largest complete subgraph. Our result extends a theorem due to i3rook.s.
## Abstract In this paper, we prove that the Kneser graphs defined on a ground set of __n__ elements, where __n__ is even, have their circular chromatic numbers equal to their chromatic numbers. Β© 2005 Wiley Periodicals, Inc. J Graph Theory 49: 257β261, 2005
We show that if a graph has acyclic chromatic number k, then its game chromatic number is at most k(k + 1). By applying the known upper bounds for the acyclic chromatic numbers of various classes of graphs, we obtain upper bounds for the game chromatic number of these classes of graphs. In particula