# New bounds on Sombor index

Document Type : Original paper

Authors

1 University of Kragujevac

2 Ege University

3 Cecen University

Abstract

The Sombor index of the graph $G$ is a degree based topological index, defined as $SO = \sum_{uv \in \mathbf E(G)}\sqrt{d_u^2+d_v^2}$, where $d_u$ is the degree of the vertex $u$, and $\mathbf E(G)$ is the edge set of $G$. Bounds on $SO$ are established in terms of graph energy, size of minimum vertex cover, matching number, and induced matching number.

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Main Subjects

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