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Published in:   Vol. 2 Issue 2 Date of Publication:   December 2013

On Domination in Fuzzy Graphs

V.M.Chtira,D.Antony Xavior

Page(s):   81-82 ISSN:   2278-2397
DOI:   10.20894/IJCOA.101.002.002.002 Publisher:   Integrated Intelligent Research (IIR)

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.