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

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

2005-03-11

arxiv.org/abs/cond-mat/0503291v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 6 figures

Scientific paper

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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