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Percolation on Networks with Conditional Dependence Group

Author

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

Abstract

Recently, the dependence group has been proposed to study the robustness of networks with interdependent nodes. A dependence group means that a failed node in the group can lead to the failures of the whole group. Considering the situation of real networks that one failed node may not always break the functionality of a dependence group, we study a cascading failure model that a dependence group fails only when more than a fraction β of nodes of the group fail. We find that the network becomes more robust with the increasing of the parameter β. However, the type of percolation transition is always first order unless the model reduces to the classical network percolation model, which is independent of the degree distribution of the network. Furthermore, we find that a larger dependence group size does not always make the networks more fragile. We also present exact solutions to the size of the giant component and the critical point, which are in agreement with the simulations well.

Suggested Citation

  • 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.
    • Handle: RePEc:plo:pone00:0126674
    DOI: 10.1371/journal.pone.0126674
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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. 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. 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.
    2. Zhou, Lin & Qi, Xiaogang & Liu, Lifang, 2023. "Robustness of networks with dependency groups considering fluctuating loads and recovery behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
    3. 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).

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