## 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
Clustering and domination in perfect graphs
โ Scribed by D.G. Corneil; Y. Perl
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 793 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0166-218X
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๐ SIMILAR VOLUMES
Let /~(G), F(G) and IR(G) be the independence number, the upper domination number and the upper irredundance number, respectively. A graph G is called In this paper, we present a characterization of F-perfect graphs in terms of a family of forbidden induced subgraphs, and show that the class of F-p
Let u(G) and i(G) be the domination number and independent domination number of a graph G. respectively. Sumner and Moore [8] define a graph G to be domination perfect if y( H) = i( H), for every induced subgraph H of G. In this article, we give a finite forbidden induced subgraph characterization o
## Abstract Let ฮณ(__G__) ฮน(__G__) be the domination number and independent domination number of a graph (__G__), respectively. A graph (__G__) is called domination perfect if ฮณ(__H__) = ฮน(__H__), for every induced subgraph __H__ of (__G__). There are many results giving a partial characterization o