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Cascade dynamics of complex propagation
Open accessAbstract
Random links between otherwise distant nodes can greatly facilitate the propagation of disease or information, provided contagion can be transmitted by a single active node. However, we show that when the propagation requires simultaneous exposure to multiple sources of activation, called complex propagation, the effect of random links can be just the opposite; it can make the propagation more difficult to achieve. We numerically calculate critical points for a threshold model using several classes of complex networks, including an empirical social network. We also provide an estimation of the critical values in terms of vulnerable nodes.
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Cites
Networks, Dynamics, and the Small‐World Phenomenon
Watts, D. J. (1999) · American Journal of Sociology · doi:10.1086/210318 · Cited by 1,510
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The spread of behavior in an online social network experiment
Centola, D. (2010) · Science · doi:10.1126/science.1185231 · Cited by 2,692
Self-citationThe collective dynamics of smoking in a large social network
Christakis, N. A., & Fowler, J. H. (2008) · New England Journal of Medicine · doi:10.1056/nejmsa0706154 · Cited by 2,390
Complex Contagions and the Weakness of Long Ties
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Self-citationSmith, K. P., & Christakis, N. A. (2008) · Annual Review of Sociology · doi:10.1146/annurev.soc.34.040507.134601 · Cited by 1,638
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Social capital I: measurement and associations with economic mobility
Chetty, R., Jackson, M. O., Kuchler, T., Stroebel, J., Hendren, N., Fluegge, R. B., Gong, S., Gonzalez, F., Grondin, A., Jacob, M., et al. (2022) · Nature · doi:10.1038/s41586-022-04996-4 · Cited by 627
Rosenthal, S. B., Twomey, C. R., Hartnett, A. T., Wu, H. S., & Couzin, I. D. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1420068112 · Cited by 474
Percolation on complex networks: Theory and application
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Fosdick, B. K., Larremore, D. B., Nishimura, J., & Ugander, J. (2018) · SIAM Review · doi:10.1137/16m1087175 · Cited by 246
Topological data analysis of contagion maps for examining spreading processes on networks
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The role of hidden influentials in the diffusion of online information cascades
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Metadata
- Authors
- Centola, D., Eguíluz, V. M., & Macy, M. W.
- Venue
- Physica A: Statistical Mechanics and its Applications
- Publisher
- Elsevier BV
- Published
- 2007-01
- Volume
- 374
- Issue
- 1
- Pages
- 449-456
- ISSN
- 0378-4371 (ISSN-L)
- OpenAlex
- W2016468753
- Cited by
- 357
- References
- 1
- FWCI
- 4.23
- Type
- journal article
- Language
- en
- Open access
- green
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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.