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Attack induced cascading breakdown in complex networks
Journal of the Brazilian Computer Society volume 13, pages 67–76 (2007)
Abstract
The possibility that a complex network can be brought down by attack on a single or very few nodes through the process of cascading failures is of significant concern. In this paper, we investigate cascading failures in complex networks and uncover a phase-transition phenomenon in terms of the key parameter characterizing the node capacity. For parameter value below the phase-transition point, cascading failures can cause the network to disintegrate almost entirely. Then we show how to design networks of finite capacity that are safe against cascading breakdown. Our theory yields estimates for the maximally achievable network integrity via controlled removal of a small set of low-degree nodes.
References
A.-L. Barabási e R. Albert, Emergence of scaling in random networks,Science, 286:509–512, 1999.
R. Albert e A.-L. Barabási, Statistical mechanics of complex networks,Rev. Mod. Phys., 74:47–97, 2002.
Newman, M. E. J., The structure and function of complex networks,SIAM Review, 45(2):167–256, 2003.
R. Albert, H. Jeong, and A.-L. Barabási, Diameter of the World-Wide Web,Nature, 401:130–131, 1999.
G. Siganos, M. Faloutsos, P. Faloutsos, and C. Faloutsos, Power Laws and the AS-Level Internet Topology,IEEE/ACM Trans. Networking, 11:514–524, 2003.
X. F., Wang and G.-R. Chen, Complex Networks: Small-World, Scale-Free and Beyond,IEEE Circuit and System Magzine, First Quarter:6–20, 2003.
K. Sun, Complex networks theory: A new method of research in power grid, 2005IEEE/PES Transmission and Distribution Conference and Exhibition: Asia and Pacific, pages 1–6, 2005.
A. E. Motter and Y.-C. Lai, Cascade-based attacks on complex networks,Phys. Rev. E, 66:065102(1–4), 2002.
M. E. J. Newman, The structure of scientific collaboration networks,Proc. Natl. Acad. Sci. U.S.A., 98:404–409, 2001.
P. Erdös e A. Rényi, On the strength of connectedness of a random graph,Acta Math. Acad. Sci. Hungar., 12:261–267, 1961.
D. J. Watts e S. H. Strogatz, Collective dynamics of “small-world” networks,Nature, 393:440–442, 1998.
M. Kurant and P. Thiran, Layered complex networks,Phys. Rev. Letts., 96:138701(1–4), 2006.
K. Bömer, J. T. Maru and R. L. Goldstone, The simultaneous evolution of author and paper networks,Proc. Natl. Acad. Sci. U.S.A., 101:5266–5273, 2004.
C. L. DeMarco, A phase transition model for cascading network failure,IEEE Control Systems Magazine, 21:40–51, 2001.
B. A. Carreras, V. E., Lynch, I. Dobson, and D. E. Newman, Critical points and transitions in an electric power transmission model for cascading failure blackouts,Chaos, 12:985–994, 2002.
M. A. Rios, D. S. Kirschen, D. Jayaweera, D. P. Nedic, and R. N. Allan, Value of Security: Modeling Time-Dependent Phenomena and Weather Conditions,IEEE Trans. Power Systems, 17:543–548, 2002.
M. Ni, J. D. McCalley, V. Vittal, and T. Tayyib, Online Risk-Based Security Assessment,IEEE Trans. Power Systems, 18:258–265, 2003.
B. A. Carreras, D. E. Newman, I. Dobson, and A. B. Poole, Evidence for Self-Organized Criticality in a Time Series of Electric Power System Blackouts,IEEE Trans. Circuit and Systems — I, 51:1733–1740, 2004.
I. Dobson, B. A. Carreras, D. E. Newman, A loading-dependent model of probabilistic cascading failure,Probability in the Engineering and Informational Sciences, 19:15–32, 2005.
A. Arenas, A. Díaz-Guilera, e R. Guimerà, Communication in networks with hierarchical branching,Phys. Rev. Letts., 86(14), pp. 3196–3199, 2001.
R. Albert, H. Jeong and A.-L. Barabási, Error and attack tolerance of complex networks”,Nature (London) 406:378–382, 2000.
R. Cohen, K. Erez, D. b-Avraham, and S. Havlin, Resilience of the Internet to Random Breakdowns,Phys. Rev. Letts., 85:4626–4628, 2000.
R. Cohen, K. Erez, D. b-Avraham, and S. Havlin, Breakdown of the Internet under Intentional Attack,Phys. Rev. Letts., 86:3682–3685, 2001.
D. J., Watts, A simple model of global cascades on random networks,Proc. Natl. Acad. Sci. U.S.A., 99:5766–5771, 2002.
P. Holme, Congestion and centrality in traffic flow on complex networks,Advances in Complex Systems, 6:163–176, 2003.
L. Zhao, K. Park, and Y.-C. Lai, Attack vulnerability of scale-free networks due to cascading breakdown,Phys. Rev. E, 70:035101(1–4), 2004.
A. E. Motter, Cascade Control and Defense in Complex Networks,Phys. Rev. Letts., 93:098701(1–4), 2004.
L. Zhao, K.-H. Park, e Y.-C. Lai, Tolerance of scale-free networks against attack-induced cascades,Phys. Rev. E, 72:025104(1–4), 2005.
M. E. J. Newman, Scientific collaboration networks. II. Shortest paths, weighted networks, and centrality,Phys. Rev. E, 64:016132(1–7), 2001.
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Zhao, L., Park, K., Lai, YC. et al. Attack induced cascading breakdown in complex networks. J Braz Comp Soc 13, 67–76 (2007). https://doi.org/10.1007/BF03192546
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DOI: https://doi.org/10.1007/BF03192546