On the normalized Laplacian spectrum of the comaximal graphs

Let Formula: see text be a commutative ring with nonzero identity. The comaximal graph of Formula: see text, denoted by Formula: see text, is a simple graph with vertex set Formula: see text, and two distinct vertices Formula: see text and Formula: see text are adjacent if and only if Formula: see text. Let Formula: see text be an induced subgraph of Formula: see text with nonunit elements of Formula: see text as vertices. In this paper, we describe the normalized Laplacian spectrum of Formula: see text, and we determine it for some values of Formula: see text, where Formula: see text is the ring of integers modulo Formula: see text. Moreover, we investigate the normalized Laplacian energy and general Randic index of Formula: see text.