• FUZZY CHROMATIC NUMBER OF MIDDLE, SUBDIVISION AND TOTAL FUZZY GRAPH

JAHIR HUSSAIN R, KANZUL FATIMA K S*

Abstract


Fuzzy coloring of a fuzzy graph G is an assignment of colors to vertices of G. It is said to be proper if no two strong adjacent vertices have the same color. In this paper, fuzzy chromatic number of middle fuzzy graph of fuzzy cycle, fuzzy path, fuzzy star and complete fuzzy graph is given and also we find that the fuzzy chromatic number of subdivision fuzzy graph of any fuzzy graph is two. Fuzzy chromatic number of total fuzzy graph of fuzzy cycle, fuzzy path and fuzzy star is also determined.


Keywords


Strong edges, fuzzy cycle, fuzzy star, fuzzy path, complete fuzzy graph and fuzzy chromatic number.

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