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Vulnerability Of Effective Attack On Edges In Scale-Free Networks Due To Cascading Failures

Author

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  • JIAN-WEI WANG

    (Institute of System Engineering, Dalian University of Technology, Dalian 116024, P. R. China)

  • LI-LI RONG

    (Institute of System Engineering, Dalian University of Technology, Dalian 116024, P. R. China)

Abstract

Assume the initial load of an edgeijin a network to beLij=[(ki∑a ∈ Γika)(kj∑b ∈ Γjkb)]αwithkiandkjbeing the degrees of the nodes connected by the edge, where α is a tunable parameter which controls the strength of the edge initial load, andΓiandΓjare the sets of neighboring nodes ofiandj, respectively. We investigate the cascading phenomenon of uncorrelated scale-free networks subject to two different attacking strategies on edges, i.e. attacking on the edges with the highest loads or the lowest loads (LL). By the critical threshold of edge capacity quantifying the network robustness, we numerically discuss the effects of two attacks for the network vulnerability. Interestingly, it is found that the attack on the edge with the LL is highly effective in disrupting the structure of the attacked network whenα

Suggested Citation

  • Jian-Wei Wang & Li-Li Rong, 2009. "Vulnerability Of Effective Attack On Edges In Scale-Free Networks Due To Cascading Failures," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1291-1298.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:08:n:s0129183109014357
    DOI: 10.1142/S0129183109014357
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    Cited by:

    1. Wu, Yipeng & Chen, Zhilong & Zhao, Xudong & Gong, Huadong & Su, Xiaochao & Chen, Yicun, 2021. "Propagation model of cascading failure based on discrete dynamical system," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    2. Pan, Shouzheng & Yan, Hai & He, Jia & He, Zhengbing, 2021. "Vulnerability and resilience of transportation systems: A recent literature review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    3. Yushu Sun & Xisheng Tang & Guowei Zhang & Fufeng Miao & Ping Wang, 2017. "Dynamic Power Flow Cascading Failure Analysis of Wind Power Integration with Complex Network Theory," Energies, MDPI, vol. 11(1), pages 1-15, December.
    4. Wu, Yipeng & Chen, Zhilong & Zhao, Xudong & Liu, Ying & Zhang, Ping & Liu, Yajiao, 2021. "Robust analysis of cascading failures in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    5. 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.
    6. Tianhua Li & Yanchao Du & Yongbo Yuan, 2019. "Use of Variable Fuzzy Clustering to Quantify the Vulnerability of a Power Grid to Earthquake Damage," Sustainability, MDPI, vol. 11(20), pages 1-17, October.

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