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Characterizing vertex-degree sequences in scale-free networks

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  • Xiao, Wenjun
  • Liu, Yanxia
  • Chen, Guanrong

Abstract

Many large-scale complex networks exhibit a scale-free vertex-degree distribution in a power-law form. To better understand the mechanism of power-law formation in real-world networks, we explore and analyze the underlying mechanism based on the vertex-degree sequences of such networks. We show that for a scale-free network of size N, if its vertex-degree sequence is k11, then the length l of the vertex-degree sequence is of order logN. We verify this conclusion by a co-authorship network and some other real networks in various areas.

Suggested Citation

  • Xiao, Wenjun & Liu, Yanxia & Chen, Guanrong, 2014. "Characterizing vertex-degree sequences in scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 291-295.
    • Handle: RePEc:eee:phsmap:v:404:y:2014:i:c:p:291-295
    DOI: 10.1016/j.physa.2014.02.036
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    References listed on IDEAS

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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    2. Ramon Ferrer i Cancho & Ricard V. Solé, 2001. "The Small-World of Human Language," Working Papers 01-03-016, Santa Fe Institute.
    3. W.J. Xiao & W.D. Chen & B. Parhami, 2011. "On necessary conditions for scale-freedom in complex networks, with applications to computer communication systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(6), pages 951-958.
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