A Study Of Isomorphic Fuzzy Graphs

Abstract

In this thesis basic concepts of fuzzy graphs and the properties of fuzzy graph such as self loop of fuzzy graph, product fuzzy graph and isomorphism of fuzzy graphs have discussed. We have modified various results related to fuzzy graph and results related to the notion of complement of a fuzzy graph, product fuzzy subgraph etc. and its properties also studied. Some results related to complement of fuzzy graph are modified and given Fuzzyfication of results of classical graph theory, which results of common vertices and common edges are taken as condition. newlineFurther, given proof in fuzzy version of independence theorems of classical graph theory. We have been introduced new approach of fuzzy graph called produced fuzzy graphs and isomorphic property of fuzzy graph are discussed and given fuzzy version of classical graph theory. newlineFinally we have described to analysis and application of fuzzy graph, isomorphism of fuzzy graph and product fuzzy graph in the field of telecommunication. newline newline