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

On Analysis of cubic zirconia network through eccentricity operators

Muhammad Asif, Muhammad Atif, Nahid Akhtar, Muhammad Farhan Hanif, and Muhammad Kamran Siddiqui

Department of Mathematics, Government College University, Lahore, Pakistan

E-mail: muhammadasifbaloch1997@gmail.com

Received: 22 December 2024  Accepted: 19 February 2025

Abstract:

An important branch of computational chemistry is chemical graph theory which allows analyzing and transforming the structures of chemical compounds using the principles of graph theory and mathematics. Topological indices (TIs) are supposed to be numbers containing essential data regarding the molecular topology of a particular molecular graph. For the cubic zirconia network \((ZrO_2)\), we computed the eccentric connectivity indices, the augmented eccentric connectivity index, and the Ediz eccentric connectivity index in this study. The results show clear tendencies and dependencies of the network topology as the number of constituent atoms is growing. These results are novel findings on the relationship between the constructing elementary factors and the material responsive behavior which helped in enhancing the knowledge of the cubic zirconia network. Others may also help out in further studies and development of such materials in future research and engineering.

Keywords: Eccentricity of vertices; Eccentric connectivity index; Chemical graph; Zirconia network

Full paper is available at www.springerlink.com.

DOI: 10.1007/s11696-025-03978-w

Chemical Papers 79 (5) 2925–2935 (2025)