Spectral densities of scale-free networks
arXiv:cond-mat/0703055 · doi:10.1063/1.2735019
Abstract
The spectral densities of the weighted Laplacian, random walk and weighted adjacency matrices associated with a random complex network are studied using the replica method. The link weights are parametrized by a weight exponent $β$. Explicit results are obtained for scale-free networks in the limit of large mean degree after the thermodynamic limit, for arbitrary degree exponent and $β$.
14 pages, two figures