Topological Study of Zeolite Socony Mobil-5 via Degree-Based Topological Indices

Nouman Saeed,Kai Long,Zeeshan Saleem Mufti,Ayesha Abbas,Tanweer Ul Islam,Teodorico C Ramalho

doi:10.1155/2021/5522800

Abstract

Graph theory is a subdivision of discrete mathematics. In graph theory, a graph is made up of vertices connected through edges. Topological indices are numerical parameters or descriptors of graph. Topological index tells the symmetry of compound and helps us to compare those mathematical values, with boiling point, melting point, density, viscosity, hydrophobic surface area, polarity, etc., of that compound. In the present research paper, degree-based topological indices of Zeolite Socony Mobil-5 are calculated. Names of those topological indices are Randić index, first Zagreb index, general sum connectivity index, hyper-Zagreb index, geometric index, ABC index, etc.

Highlights

IntroductionThe term graph was suggested in eighteenth century by Leonhard Euler (1702–1782)
In graph theory, the term graph was suggested in eighteenth century by Leonhard Euler (1702–1782)
Chemical graph theory is a topological division of mathematical chemistry that practices graph theory to model chemical structures mathematically

Summary

Introduction

The term graph was suggested in eighteenth century by Leonhard Euler (1702–1782). Topological indices study the properties of graphs that remain constant/unchanged after continuous change in structure. Topological indices explain formation and symmetry of chemical compounds numerically and help in advancement of QSAR (qualitative structure activity relationship) and QSPR (quantitative structure property relationship). Topological indices are useful in the study of QSAR and QSPR because topological indices show the physical properties and convert the chemical structure into a numerical value. It is not astonishing to see such a great victory of graph theory and topological indices in analyzing biological and physical characteristics of chemical compounds. It is defined in [16, 17]: M1(G) 􏽘 􏼐dp + dq􏼑. It is defined in [11, 16]: M2(G) 􏽘 􏼐dp × dq􏼑.

Topological Indices of ZSM-5 Graphs

Conclusion