Connected point set domination of fuzzy graphs
Journal: International Journal of Mathematics and Soft Computing (Vol.2, No. 2)Publication Date: 2012-07-22
Authors : S. Vimala J.S. Sathya;
Page : 75-78
Keywords : Fuzzy graph; fuzzy star; point set dominating set of a fuzzy graph; connected point set dominating set of a fuzzy graph.;
Abstract
A dominating set D of a fuzzy graph is said to be a point set dominating set if for every S⊆V-D there exists a node d?D such that is a connected fuzzy graph. The minimum cardinality taken over all minimal point set dominating set is called the point set domination number of a fuzzy graph G and it is denoted by γ_p (G). A point set dominating set D of any fuzzy graph G is a connected point set dominating set if the fuzzy subgraphinduced by D is connected. The minimum cardinality taken over all point set dominating set of a fuzzy graph G is said to be connected point set domination of a fuzzy graph G and is denoted byγ_cp (G). In this paper we focus on connected point set domination number of fuzzy graph and obtain some results for new parameter of fuzzy graphs.
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