%0 Journal Article
%T Sombor index of some graph operations
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Arif, Nabeel E.
%A Karim, Akar H.
%A Hasni, Roslan
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 2561-2571
%! Sombor index of some graph operations
%K Sombor index
%K Composed graphs
%K Corona product
%R 10.22075/ijnaa.2022.5957
%X 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.
%U https://ijnaa.semnan.ac.ir/article_5957_382d6bae65a46ddd6619062e6aa32f2f.pdf