Regensburg 2010 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 24: Networks: From Topology to Dynamics III (joint DY, BP, SOE)
BP 24.6: Vortrag
Donnerstag, 25. März 2010, 11:45–12:00, H44
Evidence for power-law anti-correlations in complex networks — •Diego Rybski1, Hernán D. Rozenfeld2, and Jürgen P. Kropp1 — 1Potsdam Institute for Climate Impact Research, 14412 Potsdam, Germany — 2Levich Institute, City College of New York, New York, NY 10031, USA
We propose a degree analysis to quantify spatial correlations in complex networks. The approach considers the degrees along shortest paths in the networks and quantifies the correlations. In this work, the Barabasi-Albert (BA) model, a fractal network model, and examples of real-world networks are studied. While for the BA model the correlations show exponential decay, in the case of the fractal networks the correlations show a power-law behavior indicating long-range correlations. The results suggest that the analysis provides complementary information to the fractal dimension as measured with box covering.