Topp, J. and L. Volkmann, On graphs wi',h equal domination and independent domination number, Discrete Mathematics 96 (1991) 75-80. Allan and Laskar have shown that Kt.s-free graphs are graphs with equal domination and independent domination numbers. In this paper new classes of graphs with equal d
On average lower independence and domination numbers in graphs
✍ Scribed by Mostafa Blidia; Mustapha Chellali; Frédéric Maffray
- Book ID
- 108113519
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 213 KB
- Volume
- 295
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
For a graph G, the definitions of doknation number, denoted y(G), and independent domination number, denoted i(G), are given, and the following results are obtained: oorollrrg 1. For any graph G, y(L(G)) = i@(G)), where Z,(G) is the line graph of G. (This $xh!s t.lic rtsult ~(L(T))~i(L(T)), h w ere
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