Coloring of Regular and Strong Arcs Fuzzy Graphs

Abstract

In this paper, we introduce coloring of regular fuzzy graph G=(V,B). We can apply two different approaches to coloring of Regular fuzzy graph. The first approach is based on the odd regular coloring fuzzy graphs and the second approach is based on the even regular coloring fuzzy graph. We establish strong coloring of a fuzzy graph and we change δ − arc into α − arc or β − arc .

Operations on Complex Intuitionistic Fuzzy Graph

“…In 1965,Zadeh [21,22,23]introduced fuzzy set theory, is the best explanation for interacting with sources of uncertainty. Kalaiarasi and Mahalakshmi [3,4,7]introduced the new concept of fuzzy soft graph, complement of fuzzy soft graph and some application of  -complement fuzzy soft graph and fuzzy strong graph, complement of fuzzy strong graph. They were additionally proposed a fuzzy coloring and coloring of regular fuzzy graph and also introduced strong arcs of coloring fuzzy graph.…”

Some Structures of Neutrosophic Fuzzy Relations over Neutrosophic Fuzzy Sets

“…Yang developed the idea of intuitionistic fuzzy relation [23] kernels and closures in addition to demonstrating fourteen intuitionistic fuzzy relation theorems. Kalaiarasi and Mahalakshmi [16] [17] gave the definition of strong fuzzy graph and discussed some of its features. Kalaiarasi and Divya [12][13] have also expressed fuzzy graph concept.…”