Product of complete, strong, null, and regular fuzzy graphs

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Toto Nusantara, Yuliana Trisanti

2020 AIP Conference Proceedings Vol. 2215 Conference paper Cited by 2 SDG 16SDG 15 Quartile

Abstract

In this article, we extend the work of Dogra [1]. The extension work is related to types of fuzzy graphs that be used. The fuzzy graphs complete, strong, null, and regular and consider to homomorphic, box dot, and star products. The exciting result of the study is regular fuzzy graphs constructed from various products from fuzzy graphs. Homomorphic product of two fuzzy graphs complete with specific condition results to a fuzzy graph regular. Box dot product and star product of fuzzy graph complete and fuzzy graph null with specific condition results to a fuzzy graph regular. For star products, fuzzy graphs regular produced are a union of smaller regular fuzzy graphs. © 2020 Author(s).

Affiliations

Department of Mathematics, Faculty of Mathematics and Science, Universitas Negeri Malang, Jl. Semarang 5, Malang East Java, 65145, Indonesia

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