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Percolation in directed scale-free networks
Open accessAbstract
Many complex networks in nature have directed links, a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such directed scale-free networks with correlated in and out degree distributions. We derive a phase diagram that indicates the existence of three regimes, determined by the values of the degree exponents. In the first regime we regain the known directed percolation mean field exponents. In contrast, the second and third regimes are characterized by anomalous exponents, which we calculate analytically. In the third regime the network is resilient to random dilution, i.e., the percolation threshold is p(c)-->1.
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Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
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Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
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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
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
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
Maximal planar networks with large clustering coefficient and power-law degree distribution
Zhou, T., Yan, G., & Wang, B.-H. (2005) · Physical Review E · doi:10.1103/physreve.71.046141 · Cited by 265
Metadata
- Authors
- Schwartz, N., Cohen, R., ben-Avraham, D., Barabási, A.-L., & Havlin, S.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-07-26
- Volume
- 66
- Issue
- 1
- Pages
- 015104-015104
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2026313208
- Cited by
- 220
- References
- 1
- FWCI
- 3.55
- Type
- journal article
- Language
- en
- Open access
- green
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- Schwartz, N., Cohen, R., ben-Avraham, D., Barabási, A.-L., & Havlin, S. (2002). Percolation in directed scale-free networks. Physical Review E. https://doi.org/10.1103/physreve.66.015104
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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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