## Abstract In this paper, we show that a Cayley graph for an abelian group has an independent perfect domination set if and only if it is a covering graph of a complete graph. As an application, we show that the hypercube __Q~n~__ has an independent perfect domination set if and only if __Q~n~__ i
Weighted independent perfect domination on cocomparability graphs
โ Scribed by Gerard J. Chang; C.Pandu Rangan; Satyan R. Coorg
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 542 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0166-218X
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๐ SIMILAR VOLUMES
Let ฮฑ(G), ฮณ(G), and i(G) be the independence number, the domination number, and the independent domination number of a graph G, respectively. For any k โฅ 0, we define the following hereditary classes: ฮฑi where ISub(G) is the set of all induced subgraphs of a graph G. In this article, we present a f
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