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

A statistical correlation of entropy measures and zagreb indices in antizeolite networks via pearson analysis

Muhammad Farhan Hanif, Atef F. Hashem, Mazhar Hussain, and Muhammad Kamran Siddiqui

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

E-mail: farhanlums@gmail.com

Received: 3 June 2025  Accepted: 8 July 2025

Abstract:

Entropy measures are critical to characterizing the structural and information complexity of the network. The antizeolite-type structure is examined in this study through graph theory using the computation of several Zagreb-type indices and their respective entropy measures. Special attention is given to the use of the Pearson correlation coefficient to study the strength and character of the relationship between the indices and the values of the corresponding entropy measures. With extensive mathematical derivation and computation through Python, we uncover strong positive correlations revealing the character of structural graph parameters impacting informational uncertainty. These results provide an integrated comprehension of the topological features and the behavior of the antizeolite network’s entropy.

Keywords: Zagreb-type indices; Antizeolite network; Graph entropy; Shannon entropy; Pearson correlation; Topological analysis

Full paper is available at www.springerlink.com.

DOI: 10.1007/s11696-025-04240-z

Chemical Papers 79 (10) 6985–6997 (2025)