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Relationship between fragility and resilience in complex networks

Liwen Zhang, Linying Xiang and Jiawei Zhu

Physica A: Statistical Mechanics and its Applications, 2022, vol. 605, issue C

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.

Keywords: Complex network; Fragility; Resilience; Random graph (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:605:y:2022:i:c:s0378437122006501

DOI: 10.1016/j.physa.2022.128039

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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