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Relationship between fragility and resilience in complex networks

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  • Zhang, Liwen
  • Xiang, Linying
  • Zhu, Jiawei

Abstract

While the impacts of fragility and resilience on the networked system have attracted a lot of attention, theoretical analyses of the relationship between fragility and resilience are still lacking. In this paper, we explain from a mathematical perspective that when the network is attacked, the fragility will increase and the resilience will decrease. In addition, we provide analytical and numerical supporting evidence for the relationship that fragility and resilience of complex networks subject to a linear negative correlation in double logarithmic coordinates. This means that the impact of external attacks on system’s resilience performance is heavier than that on fragility.

Suggested Citation

  • Zhang, Liwen & Xiang, Linying & Zhu, Jiawei, 2022. "Relationship between fragility and resilience in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    • Handle: RePEc:eee:phsmap:v:605:y:2022:i:c:s0378437122006501
    DOI: 10.1016/j.physa.2022.128039
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    References listed on IDEAS

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    Cited by:

    1. Han, Jihui & Zhang, Ge & Dong, Gaogao & Zhao, Longfeng & Shi, Yuefeng & Zou, Yijiang, 2024. "Exact analysis of generalized degree-based percolation without memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).
    2. Yu, Yaocheng & Shuai, Bin & Huang, Wencheng, 2024. "Resilience evaluation of train control on-board system based on multi-dimensional continuous-time Bayesian network," Reliability Engineering and System Safety, Elsevier, vol. 246(C).

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