ISSN print edition: 0366-6352 ISSN electronic edition: 1336-9075 Registr. No.: MK SR 9/7 Published monthly

Molecular insights into Tetracene through fuzzy topological indices in chemical graph theory

Zeeshan Saleem Mufti, Ali Tabraiz, Muhammad Farhan Hanif, and Mehr-un-Nisa

Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

E-mail: zeeshansaleem009@gmail.com

Received: 18 January 2025  Accepted: 19 February 2025

Abstract:

Topological indices have emerged as a vital tool in designing pharmacological compounds, offering a cost-effective alternative to biological testing. This study computes and analyzes the fuzzy topological indices of Tetracene, a polycyclic aromatic hydrocarbon. Specifically, we calculate the fuzzy Randic, fuzzy harmonic, fuzzy first Zagreb, and fuzzy second Zagreb indices of Tetracene’s chemical structure. A graphical analysis of our results reveals a positive correlation between the size of the graph and the values of these indices. Our findings contribute to the growing body of research on the application of topological indices in chemistry and pharmacology, highlighting their potential in streamlining the drug discovery process.

Keywords: Graph; Fuzzy graph; Zagreb indices; Randic index; Harmonic index; Tetracene

Full paper is available at www.springerlink.com.

DOI: 10.1007/s11696-025-03979-9

Chemical Papers 79 (5) 2937–2953 (2025)