Abstract

Abstract Topological indices are the numerical values associated with chemical structures that correlate physico-chemical properties with structural properties. There are various classes of topological indices such as degree based topological indices, distance based topological indices and counting related topological indices. Among these classes, degree based topological indices are of great importance and play a vital role in chemical graph theory, particularly in chemistry. In this report, we have computed the multiplicative degree based topological indices of honeycomb derived networks of dimensions I, 2, 3 and 4.

Highlights

  • Mathematical modeling of chemical reaction networks consists of a variety of methods for approaching questions about the dynamical behavior of chemical reactions arising in real world applications

  • A molecular graph is a simple graph in chemical graph theory in which atoms are represented by vertices and chemical bonds are represented by edges

  • This topic is distinct from both classical graph theory and physical computing problems, and it is natural to ask what kinds topological index and molecular structure generalizations hold for this problem

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Summary

Introduction

Mathematical modeling of chemical reaction networks consists of a variety of methods for approaching questions about the dynamical behavior of chemical reactions arising in real world applications. Three epochs of chemical dynamics can be observed in the flow of research and publications [4] These times can be associated with leaders: the first is the Van’t Hoff era, the second is the Semenov Hinshelwood era and the third is definitely the Aris era. Quantitative structure-activity and structureproperty relationships predict the properties and biological activities of materials In these studies, topological indices and some physicochemical properties are used to predict bioactivity of chemical compounds [30,31,32,33]. The topological index of the graph of a chemical compound is a number which can be used to characterize the represented chemical compound and help to predict its physicochemical properties. We aim to compute multiplicative degree-based topological indices of networks derived from honeycomb networks by taking stellation, dual, bounded dual, and medial graphs of the honeycomb network

Topological indices
Computational results
Conclusions
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