On the edge-version atom-bond connectivity and geometric arithmetic indices of certain graph operations

被引：26

作者：

Gao, Wei ^{[1
]}

Farahani, Mohammad Reza ^{[2
]}

Wang, Shaohui ^{[3
]}

Husin, Mohamad Nazri ^{[4
]}

机构：

[1] Yunnan Normal Univ, Sch Informat Sci & Technol, Kunming 650500, Peoples R China

[2] Iran Univ Sci & Technol, Dept Appl Math, Tehran 16844, Iran

[3] Adelphi Univ, Dept Math & Comp Sci, Garden City, NY 11530 USA

[4] Univ Malaysia Terengganu, Sch Informat & Appl Math, Kuala Lumpur 21030, Terengganu, Malaysia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 308卷

关键词：

Atom-bond connectivity index; Geometric arithmetic index; Line graph; Joint graph; WIENER POLARITY INDEX; ABC INDEX; TREES;

D O I：

10.1016/j.amc.2017.02.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let d(L(G))(e) be the degree of an edge e in line graph L(G) of a graph G. The edge versions of atom-bond connectivity (ABC(e)) and geometric arithmetic (GA(e)) indices of G are defined as Sigma(ef is an element of E(L(G)))root(d(L(G)) (e) + d(L(G))(f)-2/d(L(G)) (e) x d(L(G)) (f) and GA(e) (G) = Sigma(ef is an element of E(L(G))) 2 root d(L(G))(e)d(L(G))(f)/d(L(G))(e)+ d(L(G))(f). In this paper, we study the ABC(e) and GA(e) indices for joint graphs and certain graph operations. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：11 / 17

页数：7

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