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New Bounds for the Estrada Index of Phenylenes
Polycyclic Aromatic Compounds ( IF 2.4 ) Pub Date : 2020-05-25 , DOI: 10.1080/10406638.2020.1765815
Muhammad Aamer Rashid 1 , Sarfraz Ahmad 1 , Muhammad Kamran Siddiqui 1 , Akbar Jahanbani 2 , S. M. Sheikholeslami 2 , Zehui Shao 3
Affiliation  

Abstract

Let G be a molecular graph with n vertices, m edges and G(L) be a line graph. Both G and L can be represented by their adjacency matrices A and E, respectively. The eigenvalues of G and L are denoted by, λ1λ2λn and γ1γ2γn, respectively. The Estrada index A and L are defined as EE(G)=i=1neλi and EE(L)=i=1neγi. In this article, we present some new lower and upper bounds for the Estrada index molecular and line graphs of phenylenes.



中文翻译:

亚苯基 Estrada 指数的新界限

摘要

G为具有n个顶点、m条边的分子图, G ( L ) 为折线图。GL都可以分别用它们的邻接矩阵AE来表示。GL的特征值表示为,λ1λ2λnγ1γ2γn,分别。Estrada 指数AL定义为(G)=一世=1neλ一世(大号)=一世=1neγ一世.在本文中,我们提出了一些新的 Estrada 指数分子和亚苯基折线图的下限和上限。

更新日期:2020-05-25
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