Upper bounds for u + x and ax are proved, where u is the domination number and x the chromatic number of a graph.
Relations between the lower domination parameters and the chromatic number of a graph
โ Scribed by Mustapha Chellali; Lutz Volkmann
- Book ID
- 108315884
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 205 KB
- Volume
- 274
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The closed neighborhood of a vertex subset S of a graph G = (V,E), denoted as N[Sj, is defined ss the union of S and the set of all the vertices adjacent to some vertex of S. A dominating set of a graph G = (V, E) is defined as a set S of vertices such that N[q = V. The domination number of a graph
Topp, J. and L. Volkmann, Some upper bounds for the product of the domination number and the chromatic number of a graph, Discrete Mathematics 118 (1993) 2899292. Some new upper bounds for yx are proved, where y is the domination number and x is the chromatic number of a graph. All graphs consider