Abstract

We study a recently introduced class of scale-free networks showing a high clustering coefficient and nontrivial 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 parameter range. We discuss the physical properties of these networks in the light of the present detailed analysis.

Notes

Originally published in Physical Review E, v.67 no.4 (2003), 46111. DOI:10.1103/PhysRevE.67.046111. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

networks, scale-free networks, clustering, connectivity, degree correlations

Subject Categories

Topology

Disciplines

Physics

Publisher

American Physical Society

Publication Date

4-1-2003

Rights Information

©2003 American Physical Society

Rights Holder

American Physical Society

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