On the properties of bipolar anti fuzzy graph magic labeling

THE 2ND INTERNATIONAL CONFERENCE ON SCIENCE, MATHEMATICS, ENVIRONMENT, AND EDUCATION Pub Date : 2019-12-18 DOI:10.1063/1.5139760

Ilman Firmansa, T. Nusantara, D. Rahmadani, A. Gani, H. Susanto, Purwanto

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引用次数: 5

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).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).

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双极反模糊图幻标的性质

本文研究双极反模糊图魔术标注。双极反模糊图是一个全新的概念，为了找出双极反模糊图的性质，我们借鉴了前人对双极模糊图的研究。本文介绍了研究对象的双极反模糊图的路径、星形和循环。研究结果表明，对于每一个自然数n，双极反模糊图的路径(Pn)和星形(Sn)图都存在双极反模糊图幻标。当n奇数且n≥3时，对循环(Cn)存在双极反模糊图幻标。本文研究双极反模糊图魔术标注。双极反模糊图是一个全新的概念，为了找出双极反模糊图的性质，我们借鉴了前人对双极模糊图的研究。本文介绍了研究对象的双极反模糊图的路径、星形和循环。研究结果表明，对于每一个自然数n，双极反模糊图的路径(Pn)和星形(Sn)图都存在双极反模糊图幻标。当n奇数且n≥3时，对循环(Cn)存在双极反模糊图幻标。

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THE 2ND INTERNATIONAL CONFERENCE ON SCIENCE, MATHEMATICS, ENVIRONMENT, AND EDUCATION

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