Sombor index and eigenvalues of comaximal graphs of commutative rings

Abstract

The comaximal graph [Formula: see text] of a commutative ring [Formula: see text] is a simple graph with vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] of [Formula: see text] are adjacent if and only if [Formula: see text]. In this paper, we find the sharp bounds for the Sombor index for comaximal graphs of integer modulo ring [Formula: see text] and give the corresponding extremal graphs. Also, we find the Sombor eigenvalues and the bounds for the Sombor energy of comaximal graphs of [Formula: see text].

Identifiers

DOI

10.1142/s0219498824501159

Citations and references