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On structural properties of scale-free networks with finite size

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  • Ou, Ruiqiu
  • Yang, Jianmei

Abstract

Since many large real networks tend to present scale-free degree distribution, this paper investigates the structural properties of scale-free networks with finite size. Beginning with a comprehensive analysis of the degree distribution consisting of the concentration trend, dispersion and inequality, this paper then focuses on the discussion of heterogeneity and hub nodes of scale-free networks. The findings will help to improve our understanding of the structure and function of real networks.

Suggested Citation

  • Ou, Ruiqiu & Yang, Jianmei, 2012. "On structural properties of scale-free networks with finite size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 887-894.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:3:p:887-894
    DOI: 10.1016/j.physa.2011.08.056
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    References listed on IDEAS

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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    2. Chaoming Song & Shlomo Havlin & Hernán A. Makse, 2005. "Self-similarity of complex networks," Nature, Nature, vol. 433(7024), pages 392-395, January.
    3. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
    4. Yang, Jianmei & Lu, Lvping & Xie, Wangdan & Chen, Guanrong & Zhuang, Dong, 2007. "On competitive relationship networks: A new method for industrial competition analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 704-714.
    5. Wang, Bing & Tang, Huanwen & Guo, Chonghui & Xiu, Zhilong, 2006. "Entropy optimization of scale-free networks’ robustness to random failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 591-596.
    6. Inaoka, Hajime & Takayasu, Hideki & Shimizu, Tokiko & Ninomiya, Takuto & Taniguchi, Ken, 2004. "Self-similarity of banking network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 621-634.
    7. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    Cited by:

    1. Ming Zheng & Jia-nan Wu & Yan-xin Huang & Gui-xia Liu & You Zhou & Chun-guang Zhou, 2012. "Inferring Gene Regulatory Networks by Singular Value Decomposition and Gravitation Field Algorithm," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-6, December.

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