Computing Topological Indices for Para-Line Graphs of Anthracene

Zhiqiang Zhang,Muhammad Reza Farahani,Muhammad Faisal Nadeem,Zaheer Ahmad,Muhammad Kamran Siddiqui,Zeshan Saleem Mufti

doi:10.1515/chem-2019-0093

Abstract

AbstractAtoms displayed as vertices and bonds can be shown by edges on a molecular graph. For such graphs we can find the indices showing their bioactivity as well as their physio-chemical properties such as the molar refraction, molar volume, chromatographic behavior, heat of atomization, heat of vaporization, magnetic susceptibility, and the partition coefficient. Today, industry is flourishing because of the interdisciplinary study of different disciplines. This provides a way to understand the application of different disciplines. Chemical graph theory is a mixture of chemistry and mathematics, which plays an important role in chemical graph theory. Chemistry provides a chemical compound, and graph theory transforms this chemical compound into a molecular graphwhich further is studied by different aspects such as topological indices.We will investigate some indices of the line graph of the subdivided graph (para-line graph) of linear-[s] Anthracene and multiple Anthracene.

Highlights

Atoms displayed as vertices and bonds can be shown by edges on a molecular graph
Industry is flourishing because of the interdisciplinary study of different disciplines. This provides a way to understand the application of different disciplines
Chemical graph theory is a mixture of chemistry and mathematics, which plays an important role in chemical graph theory

Summary

Introduction

Abstract: Atoms displayed as vertices and bonds can be shown by edges on a molecular graph. For such graphs we can find the indices showing their bioactivity as well as their physio-chemical properties such as the molar refraction, molar volume, chromatographic behavior, heat of atomization, heat of vaporization, magnetic susceptibility, and the partition coefficient. Chemistry provides a chemical compound, and graph theory transforms this chemical compound into a molecular graph which further is studied by different aspects such as topological indices. The study of topological indices on different chemical structures has been an area of research for all graph theorists. It is a bridge between mathematics and chemistry.

Applications of Topological Indices

Topological indices of para-line graphs

Results for para-line graph of multiple Anthracene

Conclusion