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Exact solution of site and bond percolation on small-world networks
Open accessAbstract
We study percolation on small-world networks, which has been proposed as a simple model of the propagation of disease. The occupation probabilities of sites and bonds correspond to the susceptibility of individuals to the disease, and the transmissibility of the disease respectively. We give an exact solution of the model for both site and bond percolation, including the position of the percolation transition at which epidemic behavior sets in, the values of the critical exponents governing this transition, the mean and variance of the distribution of cluster sizes (disease outbreaks) below the transition, and the size of the giant component (epidemic) above the transition.
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Citations
Cited by
Statistical mechanics of complex networks
Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Self-citationBarthélemy, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2010.11.002 · Cited by 2,469
Critical 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
Watts, D. J. (2004) · Annual Review of Sociology · doi:10.1146/annurev.soc.30.020404.104342 · Cited by 1,163
Metadata
- Authors
- Moore, C., & Newman, M. E. J.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2000-11-01
- Volume
- 62
- Issue
- 5
- Pages
- 7059-7064
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W1992380820
- Cited by
- 183
- References
- 0
- FWCI
- 8.50
- Type
- journal article
- Language
- en
- Open access
- green
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- Moore, C., & Newman, M. E. J. (2000). Exact solution of site and bond percolation on small-world networks. Physical Review E. https://doi.org/10.1103/physreve.62.7059
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