Net Laplacian spectrum of some products built on the simple corona of a signed graph

For a signed graph [Formula: see text], if [Formula: see text] and [Formula: see text] are its adjacency matrix and diagonal matrix of net degrees, then the net Laplacian matrix of [Formula: see text] is [Formula: see text]. A simple corona [Formula: see text] is obtained by attaching a positive pendant edge at every vertex of [Formula: see text]. In this paper, we define the three products of signed graphs [Formula: see text] and [Formula: see text] based on the simple corona [Formula: see text], and compute their net Laplacian spectrum when [Formula: see text] is net-regular. As an application, we consider the controllability of the corresponding products.