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Spectral densities of scale-free networks

D. Kim·B. Kahng
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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 $β$.

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D. Kim, B. Kahng. 2007-03-02. Spectral densities of scale-free networks. https://doi.org/10.1063/1.2735019

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