Abstract

Chemical graph theory is an important branch of mathematical chemistry which has wide range applications. In chemical graph theory a molecular graph can be recognized by a numerical quantity which is called a Topological index. Topological indices have some major classes but among these classes degree based topological indices have prominent role in chemical graph theory. In this paper we compute the edge version of some important degree based topological indices like Augmented Zagreb Index, Hyper-Zagreb Index, Harmonic Index and Sum-Connectivity Index of NAqp Nanotube.

Highlights

  • Introduction and Preliminary ResultsGraph theory is an important branch of mathematics which is started by Leonhard Euler’s as early as 1736

  • Chemical graph theory is an important branch of mathematical chemistry which has wide range applications

  • In chemical graph theory a molecular graph can be recognized by a numerical quantity which is called a Topological index

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Summary

Introduction and Preliminary Results

Graph theory is an important branch of mathematics which is started by Leonhard Euler’s as early as 1736. Chemical graph theory is very important branch of mathematical chemistry. In chemical graph theory we use algebraic invariants to minimize the structure of a molecule into a single number which denotes the energy of molecule, structural fragments, molecular branching and electronic structures. There are some major classes of topological indices such as distance based topological indices, degree based topological indices, eccentricity based topological indices and counting related polynomials and indices of graphs Among these classes degree based topological indices are of great importance and play a vital role in chemical graph theory and in chemistry [1]. In this article we compute the edge version some important degree based topological indices which are Augmented Zagreb Index, Hyper-Zagreb Index, Harmonic Index and Sum-Connectivity Index of NAqp Nanotube. We define the edge versions of Augmented Zagreb Index, Hyper-Zagreb Index, Harmonic Index and Sum-Connectivity Index

Edge Version of Augmented Zagreb Index
Edge Version of Sum-Connectivity Index
NAqp Nanotube
Conclusion

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