Abstract

The Sombor index $SO(G)$ has recently introduced in the chemical graph theory. It is a vertex-degree-based topological index defined as $SO(G)=\sum_{uv \in E(G)}\sqrt{d_G(u)^2+d_G(v)^2}$, where $d_G(u)$ is the degree of a vertex $u$ in a graph $G$. In this paper we obtain Sombor index of line graph, total graph, semitotal line graph and semitotal point graph of subdivision graph.

Keywords and Phrases

Sombor index, subdivision graph, total graph, semitotal line graph, semitotal point graph.

A.M.S. subject classification

05C09, 05C92.

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