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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  • EP ID EP659312
  • DOI -
  • Views 165
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How To Cite

P. Nithya (2017). JUST TOTAL EXCELLENT DOMINATION IN FUZZY GRAPHS. World Journal of Engineering Research and Technology, 3(6), 183-191. https://europub.co.uk/articles/-A-659312