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Scaling Of Internode Distances In Weighted Complex Networks

Author

Listed:
  • 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)

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.

Suggested Citation

  • Julian Sienkiewicz & Janusz A. Hołyst, 2010. "Scaling Of Internode Distances In Weighted Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 731-739.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:06:n:s0129183110015439
    DOI: 10.1142/S0129183110015439
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