Some results on lower bounds for topological indices

被引：9

作者：

Martinez-Perez, Alvaro ^{[1
]}

Rodriguez, Jose M. ^{[2
]}

机构：

[1] Fac CC Sociales Talavera, Avda Real Fabrica Seda S-N, Toledo 45600, Spain

[2] Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2019年 / 57卷 / 05期

关键词：

Wiener index; Generalized Wiener index; Harmonic index; General sum-connectivity index; Geometric-arithmetic index; GEOMETRIC-ARITHMETIC INDEX; HYPER-WIENER INDEX; CONNECTIVITY INDEX; HARMONIC INDEX; NUMBER; GRAPHS;

D O I：

10.1007/s10910-018-00999-7

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The aim of this paper is to obtain new inequalities involving some topological indices of a graph and characterize graphs extremal with respect to them. Our main results provide lower bounds on several indices involving just the minimum and the maximum degree of the graph G. This family of indices includes, among others, the Wiener index and several of its generalizations, the harmonic index and the general sum-connectivity index, and the geometric-arithmetic index. We also include some chemical applications of our results and some open problems.

引用

页码：1472 / 1495

页数：24

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