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.
Share and Cite
ISRP Style
M. Rani, K. M. Dharmalingam, Equitable Associate Fuzzy Graph of a Fuzzy Graph, Journal of Mathematics and Computer Science, 16 (2016), no. 1, 1-7
AMA Style
Rani M., Dharmalingam K. M., Equitable Associate Fuzzy Graph of a Fuzzy Graph. J Math Comput SCI-JM. (2016); 16(1):1-7
Chicago/Turabian Style
Rani, M., Dharmalingam, K. M.. "Equitable Associate Fuzzy Graph of a Fuzzy Graph." Journal of Mathematics and Computer Science, 16, no. 1 (2016): 1-7
Keywords
- Fuzzy equitable dominating set
- fuzzy equitable associate graph
- pre-e-fuzzy equitable graph
- degree equitable fuzzy graph.
MSC
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