Classes of small-world networks

DOI Web Site 被引用文献41件
  • L. A. N. Amaral
    Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215
  • A. Scala
    Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215
  • M. Barthélémy
    Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215
  • H. E. Stanley
    Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215

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<jats:p> We study the statistical properties of a variety of diverse real-world networks. We present evidence of the occurrence of three classes of small-world networks: ( <jats:italic>a</jats:italic> ) scale-free networks, characterized by a vertex connectivity distribution that decays as a power law; ( <jats:italic>b</jats:italic> ) broad-scale networks, characterized by a connectivity distribution that has a power law regime followed by a sharp cutoff; and ( <jats:italic>c</jats:italic> ) single-scale networks, characterized by a connectivity distribution with a fast decaying tail. Moreover, we note for the classes of broad-scale and single-scale networks that there are constraints limiting the addition of new links. Our results suggest that the nature of such constraints may be the controlling factor for the emergence of different classes of networks. </jats:p>

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