On the properties of anti fuzzy graph magic labeling

Abstract

Graph labeling is one of the famous topics in the study of fuzzy graph. This article was considering to anti fuzzy graph magic labeling. As a new concept in anti fuzzy graph, we adapted from the previous study of fuzzy graph about the related concept. The object of study is anti fuzzy graph path, anti fuzzy graph star, and anti fuzzy graph cycle. The resulted study shown that, for every natural number n, there exists magic labeling for anti fuzzy graph path (Pn) and anti fuzzy graph star (Sn). For n odd and n ≥ 3, there exists magic labeling for anti fuzzy graph cycle (Cn).