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Title:
Extremal Values of the Sombor Index in Tricyclic Graphs
Authors:
Mengyue Zhang, Biao Zhao
doi:
Volume
89
Issue
3
Year
2023
Pages
741-758
Abstract

A vertex-degree-based molecular structure descriptor was introduced by Ivan Gutman, named the Sombor index. The Sombor index of a graph G is defined as SO(G)=uvE(G)dG(u)2+dG(v)2, where dG(u) denotes the degree of the vertex u in G. In this paper we determine the extremal values of Sombor index of tricyclic graphs.

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