Sombor index of some graph transformations

Document Type : Original paper

Authors

1 Department of Mathematics, Karnatak University, Dharwad

2 University of Kragujevac

Abstract

The Sombor index of the graph $G$ is a recently introduced degree based topological index. It is defined as $SO = \sum_{uv \in E(G)} \sqrt{d(u)^2+d(v)^2}$, where $d(u)$ is the degree of the vertex u and $E(G)$ is the edge set of $G$.  In this paper we calculate $SO$ of some graph transformations. 

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References

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Communications in Combinatorics and Optimization
Volume 8, Issue 1
March 2023
Pages 193-205

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