### Sombor index of some graph operations

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq

2 Mathematics Department, College of Science, University of Sulaimani, Kurdistan Region of Iraq, Iraq

3 Faculty of Ocean Engineering Technology and Informatics Universiti Malaysia Terengganu 21030, Kuala Nerus, Terengganu, Malaysia

Abstract

One of the vertex-degree based topological indices is Sombor index which is denoted by $SO(G)$, and defined by $SO(G)=\sum_{uv \in E(G)}\sqrt{d_u^2+d_v^2}$ where $d_u, d_v$ are the degree of vertices $u$ and $v$ in the graph $G$ respectively. In this paper, we are focusing on computing the Sombor index of some graph operations, more precisely join and corona product of two graphs. The original graphs that have been the base of this paper are path, cycle and complete graphs.

Keywords