Fuzzy super resolving number and resolving number of some special graphs

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 framework. In this paper, we introduce fuzzy super resolving set, fuzzy super resolving number and certain crisp graph with ?2n? vertices and resolving number ?n? , whose resolving set form a basis for R?.