Search

For a graph G, let A(G) and D(G) be the adjacency matrix and the degree matrix of G, respectively. Nikiforov defined the matrix Aα(G) as where α ∊ [0; 1]. In this paper, we first give the Aα-spectral radius of semistrong product of arbitrary graph G and a regular graph H. Then we respectively present the Aα-spectra of semistrong product G•H and special product G⊕H when G and H are two regular graphs. Moreover, we give the Aα-spectral radius of wreath product GρH. [ABSTRACT FROM AUTHOR]