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

Exploring the degree based topological indices through M-polynomial and entropy measures of porous graphitic framework via logarithmic regression analysis

N. Mohamed Rilwan and R. Divya Bharathi

Department of Mathematics, Sadakathullah Appa College (Autonomous), Affiliated to Manonmaniam Sundaranar University, Tirunelveli, India

E-mail: rilwan2020@sadakath.ac.in

Received: 18 June 2025  Accepted: 20 October 2025

Abstract:

Porous Graphitic Framework (PGF) is a two-dimensional material that contains stacked two-dimensional layers, a fully annulated aromatic skeleton-like structure with periodic pores, and embedded heteroatoms. It performs exceptionally well as a cathode material for lithium-ion batteries and has emerging energy applications. Topological indices have been used extensively in recent years to change the chemical structure into numerical values. This study involves the computation of some degree based topological indices of PGF using M-polynomial that help us to analyze its molecular structure. It motivates us to evaluate the entropy measures of PGF. Also, the correlation between the degree based topological indices and the entropy measures is examined through logarithmic regression analysis, which improves our ability to understand the structural characteristics of the porous graphitic framework.

Keywords: Degree based topological indices; M-polynomial; Entropy; Porous graphitic framework; Regression analysis; 05C07; 05C09; 05C92

Full paper is available at www.springerlink.com.

DOI: 10.1007/s11696-025-04465-y

Chemical Papers 80 (2) 1491–1503 (2026)