Topology and correlations in structured scale-free networks
arXiv:cond-mat/0209183 · doi:10.1103/PhysRevE.67.046111
Abstract
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.
10 pages, 9 figures
References in corpus (16)
- Statistical mechanics of complex networks
- Lethality and centrality in protein networks
- Assortative mixing in networks
- Evolution of networks
- Hierarchical Organization in Complex Networks
- Dynamical and correlation properties of the Internet
- Immunization of complex networks
- Large-scale topological and dynamical properties of Internet
- Halting viruses in scale-free networks
- Epidemic spreading in correlated complex networks
- Absence of epidemic threshold in scale-free networks with connectivity correlations
- Efficiency of Scale-Free Networks: Error and Attack Tolerance
- Highly clustered scale-free networks
- Epidemic threshold in structured scale-free networks
- Growing Scale-Free Networks with Small World Behavior
- Geography in a Scale-Free Network Model
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