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Percolation theory on interdependent networks based on epidemic spreading
Open accessAbstract
We consider percolation on interdependent locally treelike networks, recently introduced by Buldyrev S. V. et al. , Nature , 464 (2010) 1025, and demonstrate that the problem can be simplified conceptually by deleting all references to cascades of failures. Such cascades do exist, but their explicit treatment just complicates the theory —which is a straightforward extension of the usual epidemic spreading theory on a single network. Our method has the added benefits that it is directly formulated in terms of an order parameter and its modular structure can be easily extended to other problems, e.g. to any number of interdependent networks, or to networks with dependency links.
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Citations
Cites
Cascade Control and Defense in Complex Networks
Motter, A. E. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.098701 · Cited by 776
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
The structure and dynamics of multilayer networks
Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., & Zanin, M. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.07.001 · Cited by 3,125
The physics of spreading processes in multilayer networks
De Domenico, M., Granell, C., Porter, M. A., & Arenas, A. (2016) · Nature Physics · doi:10.1038/nphys3865 · Cited by 649
Avalanche Collapse of Interdependent Networks
Baxter, G. J., Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.248701 · Cited by 376
Metadata
- Authors
- Son, S.-W., Bizhani, G., Christensen, C., Grassberger, P., & Paczuski, M.
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2012-01-01
- Volume
- 97
- Issue
- 1
- Pages
- 16006
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W1967510236
- Cited by
- 251
- References
- 1
- FWCI
- 20.92
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Son, S.-W., Bizhani, G., Christensen, C., Grassberger, P., & Paczuski, M. (2012). Percolation theory on interdependent networks based on epidemic spreading. EPL (Europhysics Letters). https://doi.org/10.1209/0295-5075/97/16006
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