The Relation Between some Polynomials and the Wiener Index of Fuzzy Graphs

In this paper, the distance between two vertices in a fuzzy graph is defined in a new way. In addition, some new degree-based fuzzy graph polynomials are introduced. By using this definition, fuzzy graph polynomials, and a special lower triangular matrix, the Wiener index and the generalized Wiener index of a fuzzy graph are computed, which coincide with the Wiener index and the generalized Wiener index in the crisp graph. The result is used to compute the Wiener index of the sum, products, and composition of two fuzzy graphs.

Keywords:

Fuzzy graph , Fuzzy Wiener index , Fuzzy graph degree-based polynomial

Authors

Seyed Sadegh Salehi Amiri

Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran.

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https://civilica.com/doc/1738994

شناسه ملی سند علمی:

JR_FOMJ-4-2_004

تاریخ نمایه سازی: 5 شهریور 1402

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Salehi Amiri, Seyed Sadegh,1402,The Relation Between some Polynomials and the Wiener Index of Fuzzy Graphs,https://civilica.com/doc/1738994

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Islamic Azad University of Babol

Type of center: Azad University

Paper count: 3,951

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