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Evolving Model Of Scale-Free Networks With Intrinsic Links

Author

Listed:
  • 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)

  • YING WANG

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

  • JINXIA LI

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

Abstract

In this paper, we introduce the concept of intrinsic link, which is used to describe the intrinsic interactions between the individuals in complex systems. Furthermore, we present a model for the evolution of complex networks, in which the system dynamics motivated by four mechanisms: the addition of new nodes with preferential attachment, the addition of new nodes with intrinsic attachment, the addition of new links with preferential attachment and the addition of new intrinsic links. The model yields scale-free behavior for the degree distributions as confirmed in many real networks. With continumm theory, we get the analytical expressions of the degree distribution and the scaling exponent γ. The analytical expressions are in good agreement with the numerical simulation results.

Suggested Citation

  • Xianmin Geng & Guanghui Wen & Ying Wang & Jinxia Li, 2008. "Evolving Model Of Scale-Free Networks With Intrinsic Links," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(07), pages 1129-1144.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:07:n:s0129183108012728
    DOI: 10.1142/S0129183108012728
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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.
    2. Perez, A.A, 2001. "Comment on “On the multinomial logic model” [Physica A 269 (1999) 9–15]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 606-606.
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