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Robustness of networks with assortative dependence groups

Author

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  • Wang, Hui
  • Li, Ming
  • Deng, Lin
  • Wang, Bing-Hong

Abstract

Assortativity is one of the important characteristics in real networks. To study the effects of this characteristic on the robustness of networks, we propose a percolation model on networks with assortative dependence group. The assortativity in this model means that the nodes with the same or similar degrees form dependence groups, for which one node fails, other nodes in the same group are very likely to fail. We find that the assortativity makes the nodes with large degrees easier to survive from the cascading failure. In this way, such networks are more robust than that with random dependence group, which also proves the assortative network is robust in another perspective. Furthermore, we also present exact solutions to the size of the giant component and the critical point, which are in agreement with the simulation results well.

Suggested Citation

  • Wang, Hui & Li, Ming & Deng, Lin & Wang, Bing-Hong, 2018. "Robustness of networks with assortative dependence groups," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 195-200.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:195-200
    DOI: 10.1016/j.physa.2018.02.150
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    References listed on IDEAS

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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    2. Hui Wang & Ming Li & Lin Deng & Bing-Hong Wang, 2015. "Percolation on Networks with Conditional Dependence Group," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-10, May.
    3. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
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    Cited by:

    1. Zhang, Min & Wang, Xiaojuan & Jin, Lei & Song, Mei, 2021. "Cascade phenomenon in multilayer networks with dependence groups and hierarchical structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    2. Zhou, Jian & Coit, David W. & Felder, Frank A. & Wang, Dali, 2021. "Resiliency-based restoration optimization for dependent network systems against cascading failures," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    3. Zhang, Lan & Huang, Changwei, 2023. "Preferential selection to promote cooperation on degree–degree correlation networks in spatial snowdrift games," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    4. Wang, Shuliang & Lv, Wenzhuo & Zhao, Longfeng & Nie, Sen & Stanley, H. Eugene, 2019. "Structural and functional robustness of networked critical infrastructure systems under different failure scenarios," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 476-487.

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