On the properties of bipolar anti fuzzy graph magic labeling

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Ilman Firmansa, Toto Nusantara, Desi Rahmadani, Abdullah Bin Gani, Heri Susanto, Purwanto

2019 AIP Conference Proceedings Vol. 2194 Conference paper Cited by 3 Quartile

Abstract

This article was considering to bipolar anti fuzzy graph magic labeling. Bipolar anti fuzzy graph be seen as new concept, therefore to find the properties, we adapted from the previous study of bipolar fuzzy graph. In this article, we introduced bipolar anti fuzzy graphs path, star, and cycle of our investigation object. The resulted study shown that, for every natural number n, there exists bipolar anti fuzzy graph magic labeling for bipolar anti fuzzy graphs path (Pn) and star (Sn) graph. For n odd and n ≥3, there bipolar anti fuzzy graph magic labeling for 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