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How to make a fragile network robust and vice versa

Author

Listed:
  • Andre A. Moreira
  • Jose S. Andrade Jr.
  • Hans J. Herrmann
  • Joseph O. Indekeu

Abstract

We investigate topologically biased failure in scale-free networks with degree distribution $P(k) \propto k^{-\gamma}$ . The probability $p$ that an edge remains intact is assumed to depend on the degree $k$ of adjacent nodes $i$ and $j$ through $p_{ij} \propto (k_i k_j)^{-\alpha}$ . By varying the exponent $\alpha$, we interpolate between random ($\alpha = 0$) and systematic failure. For $\alpha > 0 (

Suggested Citation

  • Andre A. Moreira & Jose S. Andrade Jr. & Hans J. Herrmann & Joseph O. Indekeu, "undated". "How to make a fragile network robust and vice versa," Working Papers CCSS-09-001, ETH Zurich, Chair of Systems Design.
  • Handle: RePEc:stz:wpaper:ccss-09-001
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    Citations

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    Cited by:

    1. Duan, Boping & Liu, Jing & Zhou, Mingxing & Ma, Liangliang, 2016. "A comparative analysis of network robustness against different link attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 144-153.
    2. Carletti, Timoteo & Righi, Simone, 2010. "Weighted Fractal Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2134-2142.
    3. 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.
    4. Deng, Ye & Wu, Jun & Tan, Yue-jin, 2016. "Optimal attack strategy of complex networks based on tabu search," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 74-81.
    5. Gao, Yan-Li & Chen, Shi-Ming & Nie, Sen & Ma, Fei & Guan, Jun-Jie, 2018. "Robustness analysis of interdependent networks under multiple-attacking strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 495-504.
    6. Wang, Jianwei & Sun, Enhui & Xu, Bo & Li, Peng & Ni, Chengzhang, 2016. "Abnormal cascading failure spreading on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 695-701.
    7. Zhen Chen & Jun Zhang & Wen-Bo Du & Oriol Lordan & Jiangjun Tang, 2015. "Optimal Allocation of Node Capacity in Cascade-Robustness Networks," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-12, October.
    8. Sohn, Insoo, 2019. "A robust complex network generation method based on neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 593-601.
    9. Ludwing Marenco & Humberto A Carmona & Felipe Maciel Cardoso & José S Andrade Jr. & Carlos Lenz Cesar, 2020. "Time evolution of the behaviour of Brazilian legislative Representatives using a complex network approach," PLOS ONE, Public Library of Science, vol. 15(2), pages 1-13, February.
    10. 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.
    11. Liao, Hao & Wu, Xingtong & Wang, Bing-Hong & Wu, Xiangyang & Zhou, Mingyang, 2019. "Solving the speed and accuracy of box-covering problem in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 954-963.
    12. Havlin, Shlomo & Stanley, H. Eugene & Bashan, Amir & Gao, Jianxi & Kenett, Dror Y., 2015. "Percolation of interdependent network of networks," Chaos, Solitons & Fractals, Elsevier, vol. 72(C), pages 4-19.
    13. Hao, Yucheng & Jia, Limin & Wang, Yanhui, 2020. "Edge attack strategies in interdependent scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    14. 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.
    15. Vitor H. P. Louzada & Fabio Daolio & Hans J. Herrmann & Marco Tomassini, "undated". "Smart rewiring for network robustness," Working Papers ETH-RC-14-004, ETH Zurich, Chair of Systems Design.

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