On the signless Laplacian spectrum of the comaximal graphs

Abstract

Assume that [Formula: see text] is a commutative ring with nonzero identity. The comaximal graph of [Formula: see text], denoted by [Formula: see text], is a simple graph whose vertex set consists of all elements of [Formula: see text], and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text]. In this paper, we investigate the signless Laplacian spectrum of the comaximal graph of the ring [Formula: see text].