PROPERTIES OF WEIGHTED COMPLEX NETWORKS

Xin-Jian Xu, Zhi-Xi Wu and Ying-Hai Wang ()
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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

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 04, 521-529

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.

Keywords: Networks and genealogical trees; structures and organization; diseases (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183106008662

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