FUZZY SUPER RESOLVING NUMBER AND RESOLVING NUMBER OF SOME SPECIAL GRAPHS

FUZZY SUPER RESOLVING NUMBER AND RESOLVING NUMBER OF SOME SPECIAL GRAPHS

R. Shanmugapriya, Mary Jiny D.

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Abstract

Resolving number of a graph was introduced by Slater in the year 1975, which is used to navigate the position of the robot uniquely in a graph-structured frame- work. In this paper, we introduce fuzzy super resolving set, fuzzy super resolving number and certain crisp graph with 02n0 vertices and resolving number 0n0, whose resolving set form a basis for Rn.

Keywords

Fuzzy set, Fuzzy graph, Resolving number of graph, Chromatic number of a graph, Isomorphic fuzzy graph.