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Edge-based-attack induced cascading failures on scale-free networks

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  • Wang, Jian-Wei
  • Rong, Li-Li

Abstract

Most previous existing works on cascading failures only focused on attacks on nodes rather than on edges. In this paper, we discuss the response of scale-free networks subject to two different attacks on edges during cascading propagation, i.e., edge removal by either the descending or ascending order of the loads. Adopting a cascading model with a breakdown probability p of an overload edge and the initial load (kikj)α of an edge ij, where ki and kj are the degrees of the nodes connected by the edge ij and α is a tunable parameter, we investigate the effects of two attacks for the robustness of Barabási–Albert (BA) scale-free networks against cascading failures. In the case of α<1, our investigation by the numerical simulations leads to a counterintuitive finding that BA scale-free networks are more sensitive to attacks on the edges with the lowest loads than the ones with the highest loads, not relating to the breakdown probability. In addition, the same effect of two attacks in the case of α=1 may be useful in furthering studies on the control and defense of cascading failures in many real-life networks. We then confirm by the theoretical analysis these results observed in simulations.

Suggested Citation

  • Wang, Jian-Wei & Rong, Li-Li, 2009. "Edge-based-attack induced cascading failures on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1731-1737.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:8:p:1731-1737
    DOI: 10.1016/j.physa.2009.01.015
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    Citations

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    Cited by:

    1. Wu, Jiajing & You, Wei & Wu, Taocheng & Xia, Yongxiang, 2018. "Abnormal phenomenon in robustness of complex networks with heterogeneous node functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 451-461.
    2. Wu, Taocheng & Wu, Jiajing & You, Wei, 2018. "Optimizing robustness of complex networks with heterogeneous node functions based on the Memetic Algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 143-153.
    3. Yang Yong & Xu Kaijun & Xiang Honghui, 2019. "Analysis on Chinese Airline Network Invulnerability," Journal of Systems Science and Information, De Gruyter, vol. 7(4), pages 359-372, August.
    4. Ma, Tian-Lin & Yao, Jian-Xi & Qi, Cheng & Zhu, Hong-Lu & Sun, Yu-Shu, 2013. "Non-monotonic increase of robustness with capacity tolerance in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5516-5524.
    5. Zhu, Qian & Zhu, Zhiliang & Wang, Yifan & Yu, Hai, 2016. "Fuzzy-information-based robustness of interconnected networks against attacks and failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 194-203.
    6. Wang, Jianwei, 2013. "Mitigation strategies on scale-free networks against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2257-2264.
    7. Yi, Chengqi & Bao, Yuanyuan & Jiang, Jingchi & Xue, Yibo, 2015. "Modeling cascading failures with the crisis of trust in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 256-271.
    8. Zhang, Wenping & Xia, Yongxiang & Ouyang, Bo & Jiang, Lurong, 2015. "Effect of network size on robustness of interconnected networks under targeted attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 80-88.
    9. Cui, Pengshuai & Zhu, Peidong & Wang, Ke & Xun, Peng & Xia, Zhuoqun, 2018. "Enhancing robustness of interdependent network by adding connectivity and dependence links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 185-197.
    10. Kashyap, G. & Ambika, G., 2019. "Link deletion in directed complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 631-643.
    11. Wang, Jianwei & Li, Yun & Zheng, Qiaofang, 2015. "Cascading load model in interdependent networks with coupled strength," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 242-253.
    12. Zhang, Jianhua & Xu, Xiaoming & Hong, Liu & Wang, Shuliang & Fei, Qi, 2011. "Networked analysis of the Shanghai subway network, in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4562-4570.
    13. Wang, Jianwei & Jiang, Chen & Qian, Jianfei, 2014. "Robustness of interdependent networks with different link patterns against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 535-541.
    14. Xia, Yongxiang & Zhang, Wenping & Zhang, Xuejun, 2016. "The effect of capacity redundancy disparity on the robustness of interconnected networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 561-568.
    15. Zhou, Jian & Coit, David W. & Felder, Frank A. & Tsianikas, Stamatis, 2023. "Combined optimization of system reliability improvement and resilience with mixed cascading failures in dependent network systems," Reliability Engineering and System Safety, Elsevier, vol. 237(C).

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