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Weighted Evolving Networks With Intrinsic Strength

Author

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  • XIANMIN GENG

    (College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China)

  • GUANGHUI WEN

    (College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China)

Abstract

In this paper, we introduce the concept of intrinsic strength which is used to describe the node's intrinsic property. Furthermore, we present a single preferential attachment model for the evolution of weighted networks in which the network growth is coupled with dynamical evolution of weights and intrinsic strength. The model yields a nontrivial time evolution of nodes' properties and generalized power law distributions for the weight, strength and degree, as confirmed in many real networks. The numerical simulation results are in good agreement with the analytical expressions.

Suggested Citation

  • Xianmin Geng & Guanghui Wen, 2007. "Weighted Evolving Networks With Intrinsic Strength," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(09), pages 1435-1442.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:09:n:s0129183107011443
    DOI: 10.1142/S0129183107011443
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    Cited by:

    1. Wen, Guanghui & Duan, Zhisheng & Chen, Guanrong & Geng, Xianmin, 2011. "A weighted local-world evolving network model with aging nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 4012-4026.

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