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International Journal of

Recent Trends in Engineering

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International Journal of Recent Trends in Engineering (IJRTE)

ISSN 1797-9617

Volume 1, Number 2, May 2009

Issue on Computer Science

Page(s): 276-278

Isomorphism of a Fuzzy Graph Using Fuzzy Matrix Equality

K. Ganesamoorthy, P.J. Robinson, and E.C.H. Amirtharaj

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In this study we discuss about an application of fuzzy graph isomorphism. If we look two unequal fuzzy matrices on undirected fuzzy graphs, we cannot say either the fuzzy graphs of theses fuzzy matrices are isomorphic or not isomorphic. It is because two fuzzy matrices may look different even if the fuzzy graphs are isomorphic. In this study, by using the algorithm for fuzzy graph isomorphism it can be told about the given unequal fuzzy matrices that the matrices have isomorphic fuzzy graphs or not. In the case the fuzzy graph are isomorphic; the given unequal fuzzy matrices are made equal by moving the vertices of a fuzzy matrix according to the corresponding vertices in other fuzzy graph.

Index Terms

fuzzy graph, vertex isomorphism, edge isomorphism, fuzzy matrix

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