%0 Journal Article
%T Sombor index of certain graphs
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Ghanbari, Nima
%A Alikhani, Saeid
%D 2021
%\ 03/01/2021
%V 12
%N 1
%P 27-37
%! Sombor index of certain graphs
%K Sombor index
%K Graph
%K corona
%R 10.22052/ijmc.2021.242106.1547
%X Let $G=(V,E)$ be a finite simple graph. The Sombor index $SO(G)$ of $G$ is defined as $\sum_{uv\in E(G)}\sqrt{d_u^2+d_v^2}$, where $d_u$ is the degree of vertex $u$ in $G$. In this paper, we study this index for certain graphs and we examine the effects on $SO(G)$ when $G$ is modified by operations on vertex and edge of $G$. Also we present bounds for the Sombor index of join and corona product of two graphs.
%U https://ijmc.kashanu.ac.ir/article_111345_ed933628a644aa468302d40b4b473edd.pdf