2007/03/02 by D. Kim, B. Kahng
Computer Science · Mathematics · Physics and Astronomy · #Graph theory and applications #Interconnection Networks and Systems #Neural Networks Stability and Synchronization #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.2735019
14 pages, two figures
arxiv created 2007/03/02 · openalex publication_date 2007/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.