Spectra of M-bicone product of graphs

Abstract

In this paper, we introduce a graph product, namely, [Formula: see text]-bicone product and determine the generalized characteristic polynomial of the graphs obtained from this product. Consequently, we obtain the characteristic polynomial of the adjacency matrix, the Laplacian matrix and the signless Laplacian matrix of this graph. Also, from these results, we obtain the [Formula: see text]-spectra of some families of bicone product of graphs. As an application, we obtain infinite pairs of [Formula: see text]-cospectral graphs.