CMMSE 18: geometric-arithmetic index and line graph

被引:0
作者
Domingo Pestana
José M. Sigarreta
Eva Tourís
机构
[1] Universidad Carlos III de Madrid,Departamento de Matemáticas
[2] Facultad de Matemáticas,undefined
[3] Universidad Autónoma de Guerrero,undefined
[4] Departamento de Matemáticas,undefined
[5] Facultad de Ciencias,undefined
[6] Universidad Autónoma de Madrid,undefined
来源
Journal of Mathematical Chemistry | 2019年 / 57卷
关键词
Geometric-arithmetic index; Harmonic index; Vertex-degree-based topological index; Line graph; MSC 05C07; MSC 92E10;
D O I
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中图分类号
学科分类号
摘要
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index GA1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$GA_1$$\end{document} and characterize graphs extremal with respect to them. Besides, we prove inequalities involving the geometric-arithmetic index of line graphs.
引用
收藏
页码:1427 / 1447
页数:20
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