On the maximum atom-bond sum-connectivity index of unicyclic graphs with given diameter

被引：0
|
作者：
Wang, Zhen [1 ,2 ]
Zhou, Kai [1 ,2 ]
机构：
[1] Chizhou Univ, Sch Big Data & Artificial Intelligence, Chizhou 247000, Peoples R China
[2] Chizhou Univ, Appl Math Res Ctr, Chizhou 247000, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 08期
关键词：
atom -bond sum -connectivity index; unicyclic graph; diameter; pendent vertex; ABC INDEX; TREES;
D O I：
10.3934/math.20241082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G = (V(G), E(G)) be a simple connected graph with vertex set V(G) and edge set E(G). The atom-bond sum-connectivity (ABS) index was proposed recently and is defined as ABS (G) = uvEE(G) dG(u)+dG(v) , where dG(u) represents the degree of vertex u E V(G). A connected graph G is called a unicyclic graph if |V(G)| = |E(G)|. In this paper, we determine the maximum ABS index of unicyclic graphs with given diameter. In addition, the corresponding extremal graphs are characterized.
引用
收藏
页码：22239 / 22250
页数：12
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