Extremal values of the atom-bond sum-connectivity index in bicyclic graphs
Journal of Applied Mathematics and Computing, 2023•Springer
Let G be a graph with V (G) and E (G), as vertex set and edge set respectively. The atom-
bond sum-connectivity index is a degree-based topological index which is defined as ABS
(G)=∑ uv∈ E (G) du+ dv-2 du+ dv, where the degree of the vertex u is denoted by du. In this
article, our focus lies on investigating the maximum value of atom-bond sum-connectivity
among the class of bicyclic graphs on n vertices. In addition, the role of atom-bond sum-
connectivity in explaining structure–property relationship is also demonstrated.
bond sum-connectivity index is a degree-based topological index which is defined as ABS
(G)=∑ uv∈ E (G) du+ dv-2 du+ dv, where the degree of the vertex u is denoted by du. In this
article, our focus lies on investigating the maximum value of atom-bond sum-connectivity
among the class of bicyclic graphs on n vertices. In addition, the role of atom-bond sum-
connectivity in explaining structure–property relationship is also demonstrated.
Let G be a graph with V (G) and E (G), as vertex set and edge set respectively. The atom-bond sum-connectivity index is a degree-based topological index which is defined as ABS (G)=∑ uv∈ E (G) du+ dv-2 du+ dv, where the degree of the vertex u is denoted by du. In this article, our focus lies on investigating the maximum value of atom-bond sum-connectivity among the class of bicyclic graphs on n vertices. In addition, the role of atom-bond sum-connectivity in explaining structure–property relationship is also demonstrated.
Springer
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