Intrinsic degree-correlations in the static model of scale-free networks

J. S. Lee, Kwang-Il Goh, B. Kahng, D. Kim

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31 Citations (Scopus)

Abstract

We calculate the mean neighboring degree function k̄nn(k) and the mean clustering function C(k) of vertices with degree k as a function of k in finite scale-free random networks through the static model. While both are independent of k when the degree exponent γ ≥ 3, they show the crossover behavior for 2 < γ< 3 from k-independent behavior for small k to k-dependent behavior for large k. The k-dependent behavior is analytically derived. Such a behavior arises from the prevention of self-loops and multiple edges between each pair of vertices. The analytic results are confirmed by numerical simulations. We also compare our results with those obtained from a growing network model, finding that they behave differently from each other.

Original languageEnglish
Pages (from-to)231-238
Number of pages8
JournalEuropean Physical Journal B
Volume49
Issue number2
DOIs
Publication statusPublished - 2006 Jan 1
Externally publishedYes

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ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

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