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

Krzysztof Suchecki ,  Janusz A. Hołyst 

Warsaw University of Technology, Faculty of Physics, Koszykowa 75, Warszawa 00-662, Poland

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 with analytical calculations.

 

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Presentation: oral at Symposium on Econo- and Sociophysics 2004, by Janusz A. Hołyst
See On-line Journal of Symposium on Econo- and Sociophysics 2004

Submitted: 2004-10-11 21:43
Revised:   2009-06-07 00:44