The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Dynamics of rumor propagation on small-world networks
Open accessAbstract
We study the dynamics of an epidemiclike model for the spread of a rumor on a small-world network. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of the network randomness. Here, by numerical means, we perform a quantitative characterization of the evolution in the two regimes. The variant of dynamic small worlds, where the quenched disorder of small-world networks is replaced by randomly changing connections between individuals, is also analyzed in detail and compared with a mean-field approximation.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
Epidemic Spreading in Scale-Free Networks
Pastor-Satorras, R., & Vespignani, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.3200 · Cited by 5,731
Epidemic dynamics and endemic states in complex networks
Pastor-Satorras, R., & Vespignani, A. (2001) · Physical Review E · doi:10.1103/physreve.63.066117 · Cited by 1,682
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
Random Networks of Automata: A Simple Annealed Approximation
Derrida, B., & Pomeau, Y. (1986) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/1/2/001 · Cited by 706
Small World Effect in an Epidemiological Model
Kuperman, M., & Abramson, G. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.2909 · Cited by 528
Cited by
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
Hauert, C., & Szabó, G. (2005) · American Journal of Physics · doi:10.1119/1.1848514 · Cited by 511
Dynamics of information diffusion and its applications on complex networks
Zhang, Z.-K., Liu, C., Zhan, X.-X., Lu, X., Zhang, C.-X., & Zhang, Y.-C. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.07.002 · Cited by 484
Blinking model and synchronization in small-world networks with a time-varying coupling
Belykh, I. V., Belykh, V. N., & Hasler, M. (2004) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2004.03.013 · Cited by 356
Epidemiological modeling of news and rumors on Twitter
Jin, F., Dougherty, E., Saraf, P., Cao, Y., & Ramakrishnan, N. (2013) · Proceedings of the 7th Workshop on Social Network Mining and Analysis · doi:10.1145/2501025.2501027 · Cited by 342
Metadata
- Authors
- Zanette, D. H.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-03-28
- Volume
- 65
- Issue
- 4
- Pages
- 041908-041908
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W1976232622
- Cited by
- 576
- References
- 18
- FWCI
- 6.06
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Dynamics of rumor propagation on small-world networks. https://app.cochat.ai/papers/10.1103/physreve.65.041908
- The paper
- Zanette, D. H. (2002). Dynamics of rumor propagation on small-world networks. Physical Review E. https://doi.org/10.1103/physreve.65.041908
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.