The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Critical behavior of propagation on small-world networks
Open accessAbstract
We report numerical evidence that an epidemiclike model, which can be interpreted as the propagation of a rumor, exhibits critical behavior at a finite randomness of the underlying small-world network. The transition occurs between a regime where the rumor "dies" in a small neighborhood of its origin, and a regime where it spreads over a finite fraction of the whole population. Critical exponents are evaluated through finite-size scaling analysis, and the dependence of the critical randomness with the network connectivity is studied. The behavior of this system as a function of the small-network randomness bears noticeable similarities with an epidemiological model reported recently [M. Kuperman and G. Abramson, Phys. Rev. Lett. 86, 2909 (2001)], in spite of substantial differences in the respective dynamical rules.
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Cites
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060
Small Worlds: The Dynamics of Networks between Order and Randomness
Watts, D. J. (1999) · Princeton University Press eBooks · doi:10.1515/9780691188331 · Cited by 2,105
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Renormalization group analysis of the small-world network model
Newman, M. E. J., & Watts, D. J. (1999) · Physics Letters A · doi:10.1016/s0375-9601(99)00757-4 · Cited by 1,448
Scaling and percolation in the small-world network model
Newman, M. E. J., & Watts, D. J. (1999) · Physical Review E · doi:10.1103/physreve.60.7332 · Cited by 1,202
Epidemics and percolation in small-world networks
Moore, C., & Newman, M. E. J. (2000) · Physical Review E · doi:10.1103/physreve.61.5678 · Cited by 948
On the properties of small-world network models
Barrat, A., & Weigt, M. (2000) · The European Physical Journal B · doi:10.1007/s100510050067 · Cited by 888
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Small World Effect in an Epidemiological Model
Kuperman, M., & Abramson, G. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.2909 · Cited by 528
Mathematical models and applications
Mäki, D. P., & Thompson, M. T. M. T. (1973) · Cited by 527
Cited by
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Statistical physics of social dynamics
Castellano, C., Fortunato, S., & Loreto, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.591 · Cited by 4,119
Epidemic processes in complex networks
Pastor-Satorras, R., Castellano, C., Van Mieghem, P., & Vespignani, A. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.925 · Cited by 3,697
Dorogovtsev, S. N., & Mendes, J. F. F. (2002) · Advances in Physics · doi:10.1080/00018730110112519 · Cited by 3,171
Dynamics of rumor spreading in complex networks
Moreno, Y., Nekovee, M., & Pacheco, A. F. (2004) · Physical Review E · doi:10.1103/physreve.69.066130 · Cited by 936
Metadata
- Authors
- Zanette, D. H.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2001-10-24
- Volume
- 64
- Issue
- 5
- Pages
- 050901-050901
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W1965661232
- Cited by
- 379
- References
- 16
- FWCI
- 5.34
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
