Spectral densities of scale-free networks

Details Spectral densities of scale-free networks Spectral densities of scale-free networks

2007-03-02

arxiv.org/abs/cond-mat/0703055v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, two figures

Scientific paper

10.1063/1.2735019

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 $\beta$.

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