Extremal graphs on geometric‐arithmetic index of tetracyclic chemical graphs,International Journal of Quantum Chemistry

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Extremal graphs on geometric‐arithmetic index of tetracyclic chemical graphs
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2020-10-24 , DOI: 10.1002/qua.26516
Selvaraj Balachandran ₁ , Hanyuan Deng ₂ , Suresh Elumalai ₃ , Toufik Mansour ₃

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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 $urn:x-wiley:00207608:media:qua26516:qua26516-math-0001$ , 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.

中文翻译：

四环化学图的几何算术指数极值图

本文的主要关注的是呈现四环（化学）图的完整分类和相对于所述几何算术指数，由下式定义建立一些极值的结果 $缸：x-wiley：00207608：media：qua26516：qua26516-math-0001$ ，其中d _X表示的顶点度X在ģ。此外，我们表征的几何算术指数的第一和第二最大值的极图ñ -点（Ñ ≥9）四环（化学）的曲线图。

更新日期：2020-10-24

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