Log-periodic oscillations in degree distributions of hierarchical scale-free networks

Krzysztof Suchecki; Janusz A. Holyst

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Log-periodic oscillations in degree distributions of hierarchical scale-free networks

Krzysztof Suchecki·Janusz A. Holyst

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Abstract

Hierarchical models of scale free networks are introduced where numbers of nodes in clusters of a given hierarchy are stochastic variables. Our models show periodic oscillations of degree distribution P(k) in the log-log scale. Periods and amplitudes of such oscillations depend on network parameters. Numerical simulations are in a good agreement to analytical calculations.

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Krzysztof Suchecki, Janusz A. Holyst. 2005-03-11. Log-periodic oscillations in degree distributions of hierarchical scale-free networks. https://arxiv.org/abs/cond-mat/0503291

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