%0 Journal Article %T Spectra of the blow-up graphs %A Carla Oliveira %A Leonardo de Lima %A Vladimir Nikiforov %J Mathematics %D 2014 %I arXiv %X 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 $\bar{G^{(t)}}.$ %U http://arxiv.org/abs/1412.0319v1