Random pseudofractal scale-free networks with small-world effect

L. Wang (), F. Du, H. P. Dai and Y. X. Sun

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 53, issue 3, 361-366

Abstract: A random pseudofractal network (RPN) is generated by a recursive growing rule. The RPN is of the scale-free feature and small-world effect. We obtain the theoretical results of power-law exponent γ=3, clustering coefficient C=3π 2 -19≈ 0.74, and a proof that the mean distance increases no faster than ln N, where N is the network size. These results agree with the numerical simulation very well. In particular, we explain the property of growth and preferential attachment in RPNs. And the properties of a class of general RPNs are discussed in the end. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 89.75.Hc Networks and genealogical trees; 05.10.-a Computational methods in statistical physics and nonlinear dynamics (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2006-00389-0

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