Narrow Results

The comaximal graph $\mathrm{\Gamma }(R)$ of a commutative ring $R$ is a simple graph with vertex set $R$ and two distinct vertices $u$ and $v$ of $\mathrm{\Gamma }(R)$ are adjacent if and only if $uR+vR=R$. In this paper, we find the sharp bounds for the Sombor index for comaximal graphs of integer modulo ring ${\mathbb{Z}}_n$ and give the corresponding extremal graphs. Also, we find the Sombor eigenvalues and the bounds for the Sombor energy of comaximal graphs of ${\mathbb{Z}}_n$.