Topological Properties of Degree-Based Invariants via M-Polynomial Approach

Author:

Alsulami Samirah1ORCID,Hussain Sabir2ORCID,Afzal Farkhanda3ORCID,Farahani Mohammad Reza4ORCID,Afzal Deeba2ORCID

Affiliation:

1. University of Jeddah, College of Science, Department of Mathematics, Jeddah, Saudi Arabia

2. Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, Pakistan

3. Department of Humanities and Basic Sciences, MCS, National University of Sciences and Technology, Islamabad 44000, Pakistan

4. Department of Mathematics, Iran University of Science and Technology Narmak, Tehran 16844, Iran

Abstract

Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory. In this work, we give the closed formulas of redefined first and second Zagreb indices, modified first Zagreb index, nano-Zagreb index, second hyper-Zagreb index, Randić index, reciprocal Randić index, first Gourava index, and product connectivity Gourava index via M-polynomial. We also present the M-polynomial of silicate network and then closed formulas of topological indices are applied on the silicate network.

Publisher

Hindawi Limited

Subject

General Mathematics

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