The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Multiple percolation transitions in a configuration model of a network of networks
Open accessAbstract
Recently much attention has been paid to the study of the robustness of interdependent and multiplex networks and, in particular, the networks of networks. The robustness of interdependent networks can be evaluated by the size of a mutually connected component when a fraction of nodes have been removed from these networks. Here we characterize the emergence of the mutually connected component in a network of networks in which every node of a network (layer) α is connected with q_{α} its randomly chosen replicas in some other networks and is interdependent of these nodes with probability r. We find that when the superdegrees q_{α} of different layers in a network of networks are distributed heterogeneously, multiple percolation phase transition can occur. We show that, depending on the value of r, these transition are continuous or discontinuous.
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Citations
Cites
Dynamical Processes on Complex Networks
Barrat, A., Barthélemy, M., & Vespignani, A. (2008) · doi:10.1017/cbo9780511791383 · Cited by 2,704
Community Structure in Time-Dependent, Multiscale, and Multiplex Networks
Mucha, P. J., Richardson, T., Macon, K., Porter, M. A., & Onnela, J.-P. (2010) · Science · doi:10.1126/science.1184819 · Cited by 2,123
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
Self-citation
Cited by
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
Self-citationThe 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
Percolation 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
Avoiding catastrophic failure in correlated networks of networks
Reis, S. D. S., Hu, Y., Babino, A., Andrade Jr, J. S., Canals, S., Sigman, M., & Makse, H. A. (2014) · Nature Physics · doi:10.1038/nphys3081 · Cited by 281
Metadata
- Authors
- Bianconi, G., & Dorogovtsev, S. N.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2014-06-26
- Volume
- 89
- Issue
- 6
- Pages
- 062814-062814
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2019819991
- Cited by
- 176
- References
- 3
- FWCI
- 14.06
- Type
- journal article
- Language
- en
- Open access
- green
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