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On Domination in Fuzzy Graphs

V.M.Chtira,D.Antony Xavior, D.Florence Isido

Published in:   Vol. 2 Issue 2 Date of Publication:   December 2013
Page(s):   81-82 Publisher:   Integrated Intelligent Research (IIR)
DOI:   10.20894/IJCOA. SAI : 2013SCIA316F0976

A set D ⊂ V of a given fuzzy graph ( )is a dominating set if for every there exists such that ( ) is a strong arc and ( ) ( ) and if the number of vertices of D is minimum then it is called a minimum dominating set of G. Domination number of G is the sum of membership values of vertices ofa minimum dominating set and it is denoted by ( ). In this paper we study domination in fuzzy graphs. Also we formulate an algorithm to find dominating set for a given fuzzy graph.