Andrade, R.F.S.; Miranda, J.G.V. - In: Physica A: Statistical Mechanics and its Applications 356 (2005) 1, pp. 1-5
A first characterization of the spectral properties of the Apollonian network is presented. Results are based on the numerically evaluated eigenvalue spectra of adjacency matrices for the first nine generations of the network. The main features refer to the presence of several gaps on the...