The purpose of this paper is to introduce various concepts of g?-domination, which generalize and unify different well-known kinds of domination in graphs. We generalize a result of Lov/tsz concerning the existence of a partition of a set of vertices of G into independent subsets and a result of Fav
Independence and domination in polygon graphs
โ Scribed by Ehab S. Elmallah; Lorna K. Stewart
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 876 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let ฮด, ฮณ, i and ฮฑ be respectively the minimum degree, the domination number, the independent domination number and the independence number of a graph G. The graph G is 3-ฮณ-critical if ฮณ = 3 and the addition of any edge decreases ฮณ by 1. It was conjectured that any connected 3-ฮณ-critical graph satisf
In this paper we consider the following parameters: IR(G), the upper irredundance number, which is the order of the largest maximal irredundant set, I'(G), the upper domination number, which is the order of the largest minimal dominating set and /3(G), the independence number, which is the order of
Let G be a simple graph of order n. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. Motivated by work of Cockayne et al. (1991) and Cockayne and Mynhardt (1989), we investigate the maximum value of the product of th