title: Spectral densities of scale-free networks.
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 beta. Explicit results are obtained for scale-free networks in the limit of large mean degree after the thermodynamic limit, for arbitrary degree exponent and beta.
authors.affiliation: Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea.
authors.forename: D
authors.initials: D
authors.lastname: Kim
authors.forename: B
authors.initials: B
authors.lastname: Kahng