Computing two types of geometric-arithmetic indices of some benzenoid graphs

Document Type : Full Length Article

Authors

1 Department of Mathematics, Payame Noor University

2 Department of Mathematics, Yazd university

Abstract

The geometric-arithmetic index is a topological index was defined as $GA(G)=\sum{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}}$, where du denotes the degree of vertex u in G. By replacing instead $\delta_u=\sum_{v\cong u} d_v$ of du in GA(G), we have a new version of this index that defined as $GA(G)=\sum{uv\in E(G)}\frac{2\sqrt{\delta_u\delta_v}}{\delta_u+\delta_v}}$. In this paper, we present exact formulas of these indices for some benzenoid graphs.

Graphical Abstract

Computing two types of geometric-arithmetic indices of some benzenoid graphs

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References

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Journal of Discrete Mathematics and Its Applications
Volume 8, Issue 3
September 2023
Pages 171-175

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History

  • Receive Date: 02 August 2014
  • Revise Date: 10 December 2014
  • Accept Date: 01 April 2015
  • Publish Date: 01 September 2023

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