Random pseudofractal scale-free networks with small-world effect |
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Authors: | L Wang F Du H P Dai Y X Sun |
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Institution: | (1) State Key Laboratory of Industrial Control Technology, Institute of Industrial Process Control, Zhejiang University, Hangzhou, 310027, P.R. China |
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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=3π2-19≈
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. |
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Keywords: | 89 75 Hc Networks and genealogical trees 05 10 -a Computational methods in statistical physics and nonlinear dynamics |
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