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Properties Of Weighted Complex Networks

Author

Listed:
  • XIN-JIAN XU

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • ZHI-XI WU

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • YING-HAI WANG

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

Abstract

We study two kinds of weighted networks, weighted small-world (WSW) and weighted scale-free (WSF). The weightwijof a link between nodesiandjin the network is defined as the product of endpoint node degrees; that iswij=(kikj)θ. In contrast to adding weights to links when networks are being constructed, we only consider weights depending on the "popularity" of the nodes represented by their connectivity. It was found that both weighted networks have broad distributions on the characterization of the link weight, the vertex strength, and the average shortest path length. Furthermore, as a survey of the model, the epidemic spreading process in both weighted networks was studied based on the standardsusceptible-infected(SI) model. The spreading velocity reaches a peak very quickly after the infection outbreaks and an exponential decay was found in the long time propagation.

Suggested Citation

  • Xin-Jian Xu & Zhi-Xi Wu & Ying-Hai Wang, 2006. "Properties Of Weighted Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 521-529.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:04:n:s0129183106008662
    DOI: 10.1142/S0129183106008662
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    Cited by:

    1. Wang, Fahui & Antipova, Anzhelika & Porta, Sergio, 2011. "Street centrality and land use intensity in Baton Rouge, Louisiana," Journal of Transport Geography, Elsevier, vol. 19(2), pages 285-293.

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