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Dynamical robustness of networks against multi-node attacked

Author

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  • Lv, Chang-Chun
  • Si, Shu-Bin
  • Duan, Dong-Li
  • Zhan, Ren-Jun

Abstract

A question in the robustness research of networks, which has not been addressed previously but may be more important and of wider interest, is how to consider spatio-temporal tolerance against failure propagation after a fraction f of nodes attacked. Here we develop a quantitative approach to examine the cascading overload condition based on the structure connectivity when a fraction f of nodes is attacked randomly. We also explore the critical threshold against cascading failures with two types of load redistribution rule. Fixing the value of β (the redistribution parameter) or τ (the initial load distribution parameter), we prove that the network shows the strongest robustness when the values of β is equal to τ, and the network robustness shows a growth trend with the decrease of f. We get a striking conclusion within the global load preferential sharing rule that the network robustness is independent of the network topology.

Suggested Citation

  • Lv, Chang-Chun & Si, Shu-Bin & Duan, Dong-Li & Zhan, Ren-Jun, 2017. "Dynamical robustness of networks against multi-node attacked," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 837-844.
    • Handle: RePEc:eee:phsmap:v:471:y:2017:i:c:p:837-844
    DOI: 10.1016/j.physa.2016.12.066
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    References listed on IDEAS

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    1. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    2. Alessandro Vespignani, 2010. "The fragility of interdependency," Nature, Nature, vol. 464(7291), pages 984-985, April.
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    Cited by:

    1. Qi, Xiaogang & Yang, Guizhen & Liu, Lifang, 2020. "Robustness analysis of the networks in cascading failures with controllable parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    2. Yang, Guizhen & Qi, Xiaogang & Liu, Lifang, 2020. "Research on network robustness based on different deliberate attack methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    3. Xu Li & Bin Lv & Binke Lang & Qixiang Chen, 2022. "Exploring the Cascading Failure in Taxi Transportation Networks," Sustainability, MDPI, vol. 14(20), pages 1-14, October.

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