Topology and correlations in structured scale-free networks

Details Topology and correlations in structured scale-free networks Topology and correlations in structured scale-free networks

2002-09-07

arxiv.org/abs/cond-mat/0209183v1

Phys. Rev. E 67, 046111 (2003)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 9 figures

Scientific paper

10.1103/PhysRevE.67.046111

We study a recently introduced class of scale-free networks showing a high clustering coefficient and non-trivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the fine details of the model. We solve exactly the case of low average connectivity, providing also exact expressions for the clustering and degree correlation functions. The model also exhibits a lack of small world properties in the whole parameters range. We discuss the physical properties of these networks in the light of the present detailed analysis.

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