Open Access

ARTICLE

An Approximation for the Entropy Measuring in the General Structure of SGSP₃

by Kamel Jebreen^1,2,3,*, Muhammad Haroon Aftab⁴, Mohammad Issa Sowaity⁵, Zeeshan Saleem Mufti⁴, Muhammad Hussain⁶

1 Biostatistics and Clinical Research Department, University Hospital Lariboisière, AP-HP, Universite’ de Paris, Paris, 75010, France
2 Department of Mathematics, An-Najah National University, Nablus, P400, Palestine
3 Department of Mathematics, Palestine Technical University–Kadoorie, Hebron, P766, Palestine
4 Department of Mathematics and Statistics, the University of Lahore, Lahore, 54000, Pakistan
5 Department of Mathematics, Palestine Polytechnic University, Hebron, P766, Palestine
6 Department of Mathematics, COMSATS University Islamabad, Lahore campus, Lahore, 54000, Pakistan

* Corresponding Author: Kamel Jebreen. Email:

Computers, Materials & Continua 2022, 73(3), 4455-4463. https://doi.org/10.32604/cmc.2022.030246

Received 22 March 2022; Accepted 11 May 2022; Issue published 28 July 2022

Abstract

In this article, we calculate various topological invariants such as symmetric division degree index, redefined Zagreb index, VL index, first and second exponential Zagreb index, first and second multiplicative exponential Zagreb indices, symmetric division degree entropy, redefined Zagreb entropy, VL entropy, first and second exponential Zagreb entropies, multiplicative exponential Zagreb entropy. We take the chemical compound named Proanthocyanidins, which is a very useful polyphenol in human’s diet. They are very beneficial for one’s health. These chemical compounds are extracted from grape seeds. They are tremendously anti-inflammatory. A subdivision form of this compound is presented in this article. The compound named subdivided grape seed Proanthocyanidins is abbreviated as SGSP₃. This network SGSP₃, is converted and modeled into its mathematical graphical formation with the support of the latest mathematical tools. We have also developed many closed formulas for the measurement of entropy for the general chemical structure of the subdivided grape seed Proanthocyanidins network. The achieved outcomes can be correlated with the chemical version of SGSP₃ to get a better understanding of its biological as well as physical features.

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Keywords

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