Extremal graphs on geometric-arithmetic index of tetracyclic chemical graphs

Selvaraj Balachandran; Hanyuan Deng; Suresh Elumalai; Toufik Mansour

doi:10.1002/qua.26516

Extremal graphs on geometric-arithmetic index of tetracyclic chemical graphs

Selvaraj Balachandran, Hanyuan Deng, Suresh Elumalai, Toufik Mansour

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The main concern of this article is to present the complete classification of tetracyclic (chemical) graphs and establishing some extremal results with respect to the geometric-arithmetic index, defined by (Formula presented.), where d_x denotes the degree of a vertex x in G. In addition, we characterize the extremal graphs of the first and second maximum values of geometric-arithmetic index of n-vertex (n ≥ 9) tetracyclic (chemical) graphs.

Original language	English
Article number	e26516
Journal	International Journal of Quantum Chemistry
Volume	121
Issue number	5
DOIs	https://doi.org/10.1002/qua.26516
State	Published - 5 Mar 2021

Bibliographical note

Publisher Copyright:
© 2020 Wiley Periodicals LLC

Keywords

chemical graphs
geometric-arithmetic index
tetracyclic graphs

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Physical and Theoretical Chemistry

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10.1002/qua.26516

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abstract = "The main concern of this article is to present the complete classification of tetracyclic (chemical) graphs and establishing some extremal results with respect to the geometric-arithmetic index, defined by (Formula presented.), where dx denotes the degree of a vertex x in G. In addition, we characterize the extremal graphs of the first and second maximum values of geometric-arithmetic index of n-vertex (n ≥ 9) tetracyclic (chemical) graphs.",

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AB - The main concern of this article is to present the complete classification of tetracyclic (chemical) graphs and establishing some extremal results with respect to the geometric-arithmetic index, defined by (Formula presented.), where dx denotes the degree of a vertex x in G. In addition, we characterize the extremal graphs of the first and second maximum values of geometric-arithmetic index of n-vertex (n ≥ 9) tetracyclic (chemical) graphs.

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Extremal graphs on geometric-arithmetic index of tetracyclic chemical graphs

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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