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.
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
Permanent URL
Recommended Citation
Vazquez, A; Boguna, M; Moreno, Y; Pastor-Satorras, R; and Vespignani, A, "Topology and correlations in structured scale-free networks" (2003). Physics Faculty Publications. Paper 191. http://hdl.handle.net/2047/d20002151
Click button above to open, or right-click to save.
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.