The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Clique Percolation in Random Networks
Open accessAbstract
The notion of k-clique percolation in random graphs is introduced, where k is the size of the complete subgraphs whose large scale organizations are analytically and numerically investigated. For the Erdos-Rényi graph of N vertices we obtain that the percolation transition of k-cliques takes place when the probability of two vertices being connected by an edge reaches the threshold p(c) (k) = [(k - 1)N](-1/(k - 1)). At the transition point the scaling of the giant component with N is highly nontrivial and depends on k. We discuss why clique percolation is a novel and efficient approach to the identification of overlapping communities in large real networks.
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Citations
Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
Bollobás, B. (2001) · doi:10.1017/cbo9780511814068 · Cited by 2,639
Defining and identifying communities in networks
Radicchi, F., Castellano, C., Cecconi, F., Loreto, V., & Parisi, D. (2004) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0400054101 · Cited by 2,450
Dorogovtsev, S. N., & Mendes, J. F. F. (2003) · doi:10.1093/acprof:oso/9780198515906.001.0001 · Cited by 1,563
Cited by
Fortunato, S. (2010) · Physics Reports · doi:10.1016/j.physrep.2009.11.002 · Cited by 11,293
Uncovering the overlapping community structure of complex networks in nature and society
Palla, G., Derényi, I., Farkas, I., & Vicsek, T. (2005) · Nature · doi:10.1038/nature03607 · Cited by 5,373
Self-citationCritical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Robustness of community structure in networks
Karrer, B., Levina, E., & Newman, M. E. J. (2008) · Physical Review E · doi:10.1103/physreve.77.046119 · Cited by 350
Percolation of localized attack on complex networks
Shao, S., Huang, X., Stanley, H. E., & Havlin, S. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/2/023049 · Cited by 182
Metadata
- Authors
- Derényi, I., Palla, G., & Vicsek, T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-04-29
- Volume
- 94
- Issue
- 16
- Pages
- 160202-160202
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2169404653
- Cited by
- 558
- References
- 4
- FWCI
- 15.54
- Type
- journal article
- Language
- en
- Open access
- green
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