Total Coloring and Intuitionistic Fuzzy Face Magic Labeling of Fan Graph

Abstract

Use of fuzzy-graphical methods in dealing with ambiguity and vague notions is very natural. Fuzzy graph theory has a large number of applications in modeling various real-time systems where the level of information inherent in the system varies with different levels of precision. Magic-type labelings are useful when a check sum is required or a look up table has to be avoided. In this paper, total coloring of a planar graph, (i.e.) a certain type of planar graph, fan graph is discussed. An algorithm is discussed to build up an Intuitionistic Fuzzy Face Magic Fan Graph.