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4 papers · 1 filter
Beyond traditional box-covering: Determining the fractal dimension of complex networks using a fixed number of boxes of flexible diameter
Michal Lepek, Kordian Makulski, Agata Fronczak +1
In this article, we present a novel box-covering algorithm for analyzing the fractal properties of complex networks. Unlike traditional algorithms that impose a predetermined box s…
Log-periodic oscillations due to discrete effects in complex networks
Julian Sienkiewicz, Piotr Fronczak, Janusz A. Holyst
We show that discretization of internode distribution in complex networks affects internode distances l_ij calculated as a function of degrees (k_i k_j) and an average path length…
Ising model on two connected Barabasi-Albert networks
Krzysztof Suchecki, Janusz A. Holyst
We investigate analytically the behavior of Ising model on two connected Barabasi-Albert networks. Depending on relative ordering of both networks there are two possible phases cor…
Log-periodic oscillations in degree distributions of hierarchical scale-free networks
Krzysztof Suchecki, Janusz A. Holyst
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…