Extremal values of the Sombor index in unicyclic and bicyclic graphs

被引:76
|
作者
Cruz, Roberto [1 ]
Rada, Juan [1 ]
机构
[1] Univ Antioquia, Inst Matemat, Medellin, Colombia
关键词
Sombor index; Unicyclic graphs; Bicyclic graphs; Extremal values;
D O I
10.1007/s10910-021-01232-8
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Let G be a graph with set of vertices V(G) and set of edges E(G). The Sombor index is a recently introduced vertex-degree-based-topological index, defined as where d u denotes the degree of the vertex u. In this paper we study the extremal values of SO over the set of unicyclic graphs and over the set of bicyclic graphs.
引用
收藏
页码:1098 / 1116
页数:19
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