Some Properties on Fuzzy Star Graph and Fuzzy Line Graph

Authors

  • Fariba Fayazi
  • F. Mahmudi
  • A. Gholami

Keywords:

Fuzzy Wiener index, fuzzy star graph, fuzzy Zagreb indices, fuzzy Zagreb coindices.

Abstract

In 1973, Kauffman [8] introduced the concept of fuzzy graphs. The Wiener index of a graph was introduced in 1947 by Wiener in [24]. The Wiener index of a fuzzy graph was introduced by Mordeson and Mathew in [14]. In this paper, we’ve achieved the fuzzy Wiener index, the fuzzy hyper-Wiener index, the fuzzy reverse-Wiener index of fuzzy star graph and fuzzy line graph. We also study the concept of the first and second fuzzy Zagreb indices and coindices and mention the relation between fuzzy Wiener index, fuzzy hyper-Wiener index and fuzzy Zagreb indices and coindices of the fuzzy star graph.

Key words and phrases. Fuzzy Wiener index, fuzzy star graph, fuzzy Zagreb indices, fuzzy Zagreb coindices.

1991 Mathematics Subject Classification. 05C12, 05C38, 05C76

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Published

2025-05-18

How to Cite

Fariba Fayazi, F. Mahmudi, & A. Gholami. (2025). Some Properties on Fuzzy Star Graph and Fuzzy Line Graph. Jordan Journal of Mathematics and Statistics, 13(1), 139–151. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/914

Issue

Vol. 13 No. 1 (2020)

Section

Articles