Spectra of the blow-up graphs

Abstract

Let $G$ be graph on $n$ vertices and $G^{(t)}$ its blow-up graph of order $t.$ In this paper, we determine all eigenvalues of the Laplacian and the signless Laplacian matrix of $G^{(t)}$ and its complement $\overline{G^{(t)}}.$

5 pages, 1 figure