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Relationship between the in-degree and out-degree of WWW

Author

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  • Liu, Jianguo
  • Dang, Yanzhong
  • Wang, Zhongtuo
  • Zhou, Tao

Abstract

In this paper, the relationship between the in-degree and out-degree of World-Wide Web is studies. At each time step, a new node with out-degree kout is added, where kout obeys the power-law distribution and its mean value is m. The analytical and simulation results suggest that the exponent of in-degree distribution would be γi=2+1/m, depending on the average out-degree. This finding is supported by the empirical data, which has not been emphasized by the previous studies on directed networks.

Suggested Citation

  • Liu, Jianguo & Dang, Yanzhong & Wang, Zhongtuo & Zhou, Tao, 2006. "Relationship between the in-degree and out-degree of WWW," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 861-869.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:861-869
    DOI: 10.1016/j.physa.2006.03.054
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    Cited by:

    1. Li, Hui & Zhao, Hai & Cai, Wei & Xu, Jiu-Qiang & Ai, Jun, 2013. "A modular attachment mechanism for software network evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2025-2037.
    2. Zheng, Xiaolong & Zeng, Daniel & Li, Huiqian & Wang, Feiyue, 2008. "Analyzing open-source software systems as complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6190-6200.
    3. He, Xuan & Zhao, Hai & Cai, Wei & Li, Guang-Guang & Pei, Fan-Dong, 2015. "Analyzing the structure of earthquake network by k-core decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 34-43.
    4. Liu, Ji & Deng, Guishi, 2009. "Link prediction in a user–object network based on time-weighted resource allocation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3643-3650.

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