Computation of Topological Indices of Double and Strong Double Graphs of Circumcoronene Series of Benzenoid      H   m

Muhammad Shoaib Sardar,Imran Siddique,Muhammad Asad Ali,Dalal Alrowaili,Shehnaz Akhtar,M T Rahim

doi:10.1155/2022/5956802

Computation of Topological Indices of Double and Strong Double Graphs of Circumcoronene Series of Benzenoid H m

Muhammad Shoaib Sardar, Imran Siddique + Show 4 more

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https://doi.org/10.1155/2022/5956802

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Abstract

Topological indices are very useful to assume certain physiochemical properties of the chemical compound. A molecular descriptor which changes the molecular structures into certain real numbers is said to be a topological index. In chemical graph theory, to create quantitative structure activity relationships in which properties of molecule may be linked with their chemical structures relies greatly on topological indices. The benzene molecule is a common chemical shape in chemistry, physics, and nanoscience. This molecule could be very beneficial to synthesize fragrant compounds. The circumcoronene collection of benzenoid H m is one family that generates from benzene molecules. The purpose of this study is to calculate the topological indices of the double and strong double graphs of the circumcoronene series of benzenoids H m . In addition, we also present a numerical and graphical comparison of topological indices of the double and strong double graphs of the circumcoronene series of benzenoid H m .

Highlights

Introduction and PreliminariesFor undetermined notations and terminologies, we refer the readers to read the book [1].Let Ɠ(V, E) be a simple, finite connected graph, where the set of vertices is V(Ɠ) and the set of edges is E(Ɠ)
To create quantitative structure activity relationships in which properties of molecule may be linked with their chemical structures relies greatly on topological indices. e benzene molecule is a common chemical shape in chemistry, physics, and nanoscience. is molecule could be very beneficial to synthesize fragrant compounds. e circumcoronene collection of benzenoid Hm is one family that generates from benzene molecules. e purpose of this study is to calculate the topological indices of the double and strong double graphs of the circumcoronene series of benzenoids (Hm)
Comparison we present a numerical and graphical comparison of topological indices that included the first multiplicative-Zagreb index (PM1), general inverse sum indeg index (ISI(α,β)), atom bond connectivity index (ABC), forgotten index (F), geometric arithmetic index (GA), second multiplicative-Zagreb index (PM2), and inverse sum indeg index (ISI) for m 1, 2, 3, 4, . . ., 10 for the double graph of circumcoronene series of the benzenoid graph (D(Hm)), as given in Table 2 and Figure 4

Summary

Research Article

Computation of Topological Indices of Double and Strong Double Graphs of Circumcoronene Series of Benzenoid (Hm). Topological indices are very useful to assume certain physiochemical properties of the chemical compound. To create quantitative structure activity relationships in which properties of molecule may be linked with their chemical structures relies greatly on topological indices. E benzene molecule is a common chemical shape in chemistry, physics, and nanoscience. E circumcoronene collection of benzenoid Hm is one family that generates from benzene molecules. E purpose of this study is to calculate the topological indices of the double and strong double graphs of the circumcoronene series of benzenoids (Hm). We present a numerical and graphical comparison of topological indices of the double and strong double graphs of the circumcoronene series of benzenoid (Hm)

Introduction and Preliminaries

Conclusion