Fuzzy Magic and Bi-magic Labelling of Intuitionistic Path Graph

Abstract

A graph labelling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Fuzzy labelling models precision, flexibility and compatibility to the classical models. The objective is to discuss about the magic and bi-magic labelling of fuzzy graphs. In the beginning the magic labelling of fuzzy path graph is discussed followed by the bi-magic labelling of fuzzy path graph. The next main purpose is to introduce the Intuitionistic path graph and examine the existence of fuzzy magic and bi-magic labelling.