JUST TOTAL EXCELLENT DOMINATION IN FUZZY GRAPHS
Journal Title: World Journal of Engineering Research and Technology - Year 2017, Vol 3, Issue 6
Abstract
Let G be a fuzzy graph. A subsetD of V is said to be fuzzy dominating set if every vertex )(GVu there exist there exist a vertex DVv such that )(GEuv and )()()(vuuv. The minimum cardinality of fuzzy dominating set is denoted by )(Gf. A Fuzzy graph G is said to be Fuzzy excellent if for every vertex of G belongs to f-set of G. In this paper, we introduced a new class of total fuzzy excellent and just total fuzzy excellent (JTFE). Also, in this paper we initiate to study an induced subgraph of a total fuzzy excellent graph and we obtain a necessary and sufficient condition for a graph to be just total fuzzy excellent. We find an upper bound for )(Gft. We also prove that every just total fuzzy excellent graph contains no cut vertex.
Authors and Affiliations
P. Nithya
Keywords
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