Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Networks: From Topology to Dynamics III (joint session of BP, DY, SOE)

DY 23.6: Talk

Thursday, March 25, 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.