Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons

Author:

Mufti Zeeshan Saleem1ORCID,Fatima Eiman1,Anjum Rukhshanda1ORCID,Tchier Fairouz2ORCID,Xin Qin3ORCID,Hossain Md. Moyazzem4ORCID

Affiliation:

1. Department of Mathematics and Statistics, The University of Lahore, Lahore Campus, Pakistan

2. Department of Mathematics, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

3. Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Denmark

4. Department of Statistics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh

Abstract

Fuzzy graph theory was invented by Rosenfeld. It is the extension of the work of L.A. Zadeh on fuzzy sets. Rosenfeld extracted the fuzzy-related concepts using the graph theoretic concepts. Topological indices for crisp theory have already been discussed in the literature but these days, topological index-related fuzzy graphs are much popular. Fuzzy graphs are being used as an application in different fields of sciences such as broadcast, communications, producing, social network, man-made reasoning, data hypothesis, and neural systems. In this paper, we have computed some fuzzy topological indices such as first and second Zagreb indices, Randic index, and harmonic index of fuzzy chemical graph named phenylene.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Analysis

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