Analytic solution of the resolvent equations for heterogeneous random graphs: spectral and localization properties
Analytic solution of the resolvent equations for heterogeneous random graphs: spectral and localization properties
Abstract The spectral and localization properties of heterogeneous random graphs are determined by the resolvent distributional equations, which have so far resisted an analytic treatment. We solve analytically the resolvent equations of random graphs with an arbitrary degree distribution in the high-connectivity limit, from which we perform a thorough analysis …