On the properties of anti fuzzy graph magic labeling

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Adika Setia Brata, Toto Nusantara, Desi Rahmadani, Abdullah Bin Gani, Vita Kusumasari

2019 AIP Conference Proceedings Vol. 2194 Conference paper Cited by 2 Quartile

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). © 2019 Author(s).

Affiliations

Department of Mathematics, FMIPA Universitas Negeri Malang, Indonesia; Department of Computer System & Technology, Faculty of Computer Science & Information Technology, University of Malaya, Malaysia