The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Network clustering coefficient without degree-correlation biases
Abstract
The clustering coefficient quantifies how well connected are the neighbors of a vertex in a graph. In real networks it decreases with the vertex degree, which has been taken as a signature of the network hierarchical structure. Here we show that this signature of hierarchical structure is a consequence of degree-correlation biases in the clustering coefficient definition. We introduce a definition in which the degree-correlation biases are filtered out, and provide evidence that in real networks the clustering coefficient is constant or decays logarithmically with vertex degree.
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Citations
Cites
Hierarchical Organization of Modularity in Metabolic Networks
Ravasz, E., Somera, A. L., Mongru, D. A., Oltvai, Z. N., & Barabási, A.-L. (2002) · Science · doi:10.1126/science.1073374 · Cited by 4,224
Large-scale topological and dynamical properties of the Internet
Vázquez, A., Pastor-Satorras, R., & Vespignani, A. (2002) · Physical Review E · doi:10.1103/physreve.65.066130 · Cited by 712
Self-citation
Cited by
Clustering in weighted networks
Opsahl, T., & Panzarasa, P. (2009) · Social Networks · doi:10.1016/j.socnet.2009.02.002 · Cited by 1,037
Graph theory and stability analysis of protein complex interaction networks
Huang, C., Chen, T., & Ng, K. (2016) · IET Systems Biology · doi:10.1049/iet-syb.2015.0007 · Cited by 18
Metadata
- Authors
- Soffer, S. N., & Vázquez, A.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2005-05-13
- Volume
- 71
- Issue
- 5
- Pages
- 057101-057101
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2161605580
- Cited by
- 257
- References
- 2
- FWCI
- 6.76
- Type
- journal article
- Language
- en
- Open access
- closed
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