Log-periodic oscillations in degree distributions of hierarchical scale-free networks |
| Krzysztof Suchecki , Janusz A. Hołyst |
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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. |
Presentation: oral at Symposium on Econo- and Sociophysics 2004, by Janusz A. HolystSee On-line Journal of Symposium on Econo- and Sociophysics 2004 Submitted: 2004-10-11 21:43 Revised: 2009-06-07 00:44 |
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