Fuzzy Systems

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Strong (ARC) Edge Domination in Fuzzy Graphs


Affiliations
1 Department of Mathematics, Anna University of Technology, Trichy, India
     

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Let G:(,μ) be a fuzzy graph with SV is a dominating set of G and the dominating number (G).In this paper we define the strong edge dominating set D’ VV in G, we introduce a edge dominating number ’(G) is a minimum cardinality of edge dominating set of G. we prove some results in strong edge domination.

Keywords

Fuzzy Graphs, Fuzzy Strong (ARC) Edge Domination, Strong (Weak) Edge Domination, Fuzzy Strong (ARC) Edge Domination Number, Strong (Weak) Fuzzy Edge Domination Number.
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  • Strong (ARC) Edge Domination in Fuzzy Graphs

Abstract Views: 223  |  PDF Views: 3

Authors

G. Geetha Ramani
Department of Mathematics, Anna University of Technology, Trichy, India
N. Vinoth Kumar
Department of Mathematics, Anna University of Technology, Trichy, India

Abstract


Let G:(,μ) be a fuzzy graph with SV is a dominating set of G and the dominating number (G).In this paper we define the strong edge dominating set D’ VV in G, we introduce a edge dominating number ’(G) is a minimum cardinality of edge dominating set of G. we prove some results in strong edge domination.

Keywords


Fuzzy Graphs, Fuzzy Strong (ARC) Edge Domination, Strong (Weak) Edge Domination, Fuzzy Strong (ARC) Edge Domination Number, Strong (Weak) Fuzzy Edge Domination Number.