Equitable Associate Fuzzy Graph of a Fuzzy Graph

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Authors
M. Rani
 Department of Mathematics, Madurai Kamaraj University College Aundipatti,Tamilnadu State, India.
K. M. Dharmalingam
 Department of Mathematics, The Madura College Madurai, Tamilnadu State, India.
Abstract
Let \(G= (V, \sigma, \mu)\) be a fuzzy graph. Let \(H\) be the graph constructed from \(G\) as follows \(V(H) =V(G)\),
two points \(u\) and \(v\) are adjacent in \(H\) if and only if \(u\) and \(v\) are adjacent and degree fuzzy equitable in
\(G\). \(H\) is called the adjacency inherent fuzzy equitable graph of \(G\) or fuzzy equitable associate graph
of \(G\) and is denoted by \(e^{ef}(G)\). In this paper we introduced the concept of fuzzy equitable associate
graph and obtain some interesting results for this new parameter in fuzzy equitable associate graph.
Keywords
 Fuzzy equitable dominating set
 fuzzy equitable associate graph
 preefuzzy equitable graph
 degree equitable fuzzy graph.
MSC
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