An inequality for the group chromatic number of a graph
β Scribed by Hong-Jian Lai; Xiangwen Li; Gexin Yu
- Book ID
- 108113785
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 130 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Upper bounds for u + x and ax are proved, where u is the domination number and x the chromatic number of a graph.
An upper bound for the harmonious chromatic number of a graph G is given. Three corollaries of the theorem are theorems or improvements of the theorems of Miller and Pritikin. The assignment of colors to the vertices of a graph such that each vertex has exactly one color has been studied for well o
## Abstract We study a generalization of the notion of the chromatic number of a graph in which the colors assigned to adjacent vertices are required to be, in a certain sense, far apart. Β© 1993 John Wiley & Sons, Inc.
Following [1] , we investigate the problem of covering a graph G with induced subgraphs G 1 ; . . . ; G k of possibly smaller chromatic number, but such that for every vertex u of G, the sum of reciprocals of the chromatic numbers of the G i 's containing u is at least 1. The existence of such ''ch