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Random models of scale-free networks

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  • Geng, Xianmin
  • Li, Qiang

Abstract

In this paper, we study two models of network evolution and give more realistic descriptions of the local processes than Barabási–Albert model, incorporating the addition of new nodes, the addition of new links, the rewiring and deleting of links. To random networks model with single (or double) preferential attachment(s), we have proved that the two models are of scale-free networks if the parameters are chosen properly and got the scaling exponent γ by the continuum theory.

Suggested Citation

  • Geng, Xianmin & Li, Qiang, 2005. "Random models of scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 554-562.
    • Handle: RePEc:eee:phsmap:v:356:y:2005:i:2:p:554-562
    DOI: 10.1016/j.physa.2005.01.060
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    References listed on IDEAS

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    1. Chen, Qinghua & Shi, Dinghua, 2004. "The modeling of scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 240-248.
    2. Bernardo A. Huberman & Lada A. Adamic, 1999. "Growth dynamics of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 131-131, September.
    3. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

    1. Kong, Joseph S. & Roychowdhury, Vwani P., 2008. "Preferential survival in models of complex ad hoc networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3335-3347.

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