The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Network Robustness and Fragility: Percolation on Random Graphs
Open accessAbstract
Recent work on the Internet, social networks, and the power grid has addressed the resilience of these networks to either random or targeted deletion of network nodes or links. Such deletions include, for example, the failure of Internet routers or power transmission lines. Percolation models on random graphs provide a simple representation of this process but have typically been limited to graphs with Poisson degree distribution at their vertices. Such graphs are quite unlike real-world networks, which often possess power-law or other highly skewed degree distributions. In this paper we study percolation on graphs with completely general degree distribution, giving exact solutions for a variety of cases, including site percolation, bond percolation, and models in which occupation probabilities depend on vertex degree. We discuss the application of our theory to the understanding of network resilience.
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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
Classes of small-world networks
Amaral, L. A. N., Scala, A., Barthélémy, M., & Stanley, H. E. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.200327197 · Cited by 3,051
Cited by
Statistical mechanics of complex networks
Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Self-citationComplex networks: structure and dynamics
BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
Catastrophic cascade of failures in interdependent networks
Buldyrev, S. V., Parshani, R., Paul, G., Stanley, H. E., & Havlin, S. (2010) · Nature · doi:10.1038/nature08932 · Cited by 4,513
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
Metadata
- Authors
- Callaway, D. S., Newman, M. E. J., Strogatz, S. H., & Watts, D. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-12-18
- Volume
- 85
- Issue
- 25
- Pages
- 5468-5471
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2070207525
- Cited by
- 2,480
- References
- 2
- FWCI
- 22.53
- Type
- journal article
- Language
- en
- Open access
- green
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- Callaway, D. S., Newman, M. E. J., Strogatz, S. H., & Watts, D. J. (2000). Network Robustness and Fragility: Percolation on Random Graphs. Physical Review Letters. https://doi.org/10.1103/physrevlett.85.5468
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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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