Modified Sombor index of unicyclic graphs with a given diameter

被引：3

作者：

Shooshtari, H. ^{[1
]}

Sheikholeslami, S. M. ^{[1
]}

Amjadi, J. ^{[1
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 06期

关键词：

Modified Sombor index; diameter; unicyclic graphs;

D O I：

10.1142/S1793557123500985

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The modified Sombor index of a graph G is defined as the sum of weights 1/root d(u)(2) + d(v)(2) over all edges uv of G, where d(u) and d(v) are the degrees of the vertices u and v in G, respectively. In this paper, we give a sharp lower bound on the modified Sombor index of unicyclic graphs with given diameter in terms the number of vertices.

引用

页数：9

共 18 条

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