General sum-connectivity index of unicyclic graphs with given diameter and girth

被引：5
|
作者：
Vetrik, Tomas [1 ]
机构：
[1] Univ Free State, Dept Math & Appl Math, Bloemfontein, South Africa
来源：
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2022年 / 14卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
General sum-connectivity index; diameter; girth; unicyclic graph; HARMONIC INDEX; TREES;
D O I：
10.1142/S1793830921501408
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Topological indices of graphs have been studied due to their extensive applications in chemistry. We obtain lower bounds on the general sum-connectivity index chi(a) (G) for unicyclic graphs G of given girth and diameter, and for unicyclic graphs of given diameter, where -1 <= a < 0. We present the extremal graphs for all the bounds. Our results generalize previously known results on the harmonic index for unicyclic graphs of given diameter.
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页数：9
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