SCALING OF INTERNODE DISTANCES IN WEIGHTED COMPLEX NETWORKS

Julian Sienkiewicz () and Janusz A. Hołyst ()
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Julian Sienkiewicz: Faculty of Physics, Center of Excellence for Complex, Systems Research, Warsaw University of Technology, Koszykowa 75, Warsaw 00-662, Poland
Janusz A. Hołyst: Faculty of Physics, Center of Excellence for Complex, Systems Research, Warsaw University of Technology, Koszykowa 75, Warsaw 00-662, Poland

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 06, 731-739

Abstract: We extend the previously observed scaling equation connecting the internode distances and nodes' degrees onto the case of weighted networks. We show that the scaling takes a similar form in the empirical data obtained from networks characterized by different relations between node's strength and its degree. In the case of explicit equation fors (k)(e.g. linear or scale-free), the new coefficients of scaling equation can be easily obtained. We support our analysis with numerical simulations for Erdös–Rényi random graphs with different weight distributions.

Keywords: Weighted networks; scaling; empirical data; 89.75.Hc; 89.75.Da (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015439

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