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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 \(SO(G)=\sum\limits_{uv\in E(G)} \sqrt{d_{G}(u)^{2}+d_{G}(v)^{2}}\), where \(d_{G}(u)\) 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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