The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Cascades on correlated and modular random networks
Abstract
An analytical approach to determining the mean avalanche size in a broad class of dynamical models on random networks is introduced. Previous results on percolation transitions and epidemic sizes are shown to be special cases of the method. The time-dependence of cascades and extensions to networks with community structure or degree-degree correlations are discussed. Analytical results for the rate of spread of innovations in a modular network and for the size of k cores in networks with degree-degree correlations are confirmed with numerical simulations.
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Citations
Cites
Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
Cascade-based attacks on complex networks
Motter, A. E., & Lai, Y.-C. (2002) · Physical Review E · doi:10.1103/physreve.66.065102 · Cited by 1,929
Dorogovtsev, S. N., & Mendes, J. F. F. (2003) · doi:10.1093/acprof:oso/9780198515906.001.0001 · Cited by 1,563
Seed size strongly affects cascades on random networks
Gleeson, J. P., & Cahalane, D. J. (2007) · Physical Review E · doi:10.1103/physreve.75.056103 · Cited by 273
Self-citation
Cited by
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
Kivela, M., Arenas, A., Barthelemy, M., Gleeson, J. P., Moreno, Y., & Porter, M. A. (2014) · Journal of Complex Networks · doi:10.1093/comnet/cnu016 · Cited by 3,235
Self-citationPercolation on complex networks: Theory and application
Li, M., Liu, R.-R., Lü, L., Hu, M.-B., Xu, S., & Zhang, Y.-C. (2021) · Physics Reports · doi:10.1016/j.physrep.2020.12.003 · Cited by 365
Data based identification and prediction of nonlinear and complex dynamical systems
Wang, W.-X., Lai, Y.-C., & Grebogi, C. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.004 · Cited by 299
The role of hidden influentials in the diffusion of online information cascades
Baños, R. A., Borge-Holthoefer, J., & Moreno, Y. (2013) · EPJ Data Science · doi:10.1140/epjds18 · Cited by 79
Metadata
- Authors
- Gleeson, J. P.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2008-04-28
- Volume
- 77
- Issue
- 4
- Pages
- 046117-046117
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W1998717040
- Cited by
- 220
- References
- 4
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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