On the difference between atom-bond connectivity index and Randic index of binary and chemical trees

被引：23

作者：

Ali, Akbar ^{[1
]}

Du, Zhibin ^{[2
]}

机构：

[1] Univ Management & Technol, Dept Math, Sialkot, Pakistan

[2] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Guangdong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2017年 / 117卷 / 23期

关键词：

atom-bond connectivity index; binary trees; chemical trees; extremal values; Randic index; ALKANES; GRAPHS;

D O I：

10.1002/qua.25446

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

This article is devoted to establishing some extremal results with respect to the difference of two well-known bond incident degree indices [atom-bond connectivity (ABC) index and Randic (R) index] for the chemical graphs representing alkanes. More precisely, the first three extremal trees with respect to ABC - R are characterized among all n-vertex binary trees (the trees with maximum degree at most 3). The n-vertex chemical trees (the trees with maximum degree at most 4) having the first three maximum ABC - R values are also determined.

引用

页数：15

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