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  1. Home
  3. Group Percolation In Interdependent Networks.
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  3. Group Percolation In Interdependent Networks.

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Group percolation in interdependent networks.

Zexun Wang1,2, Dong Zhou3, Yanqing Hu1

  • 1School of Data and Computer Science, Sun Yat-sen University, Guangzhou 510006, China.

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|May 20, 2018

View abstract on PubMed

Summary
This summary is machine-generated.

Forming node groups enhances interdependent network resilience against attacks. This group percolation model shows improved robustness but always results in a first-order phase transition, limiting continuous transitions.

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Area of Science:

  • Network science
  • Complex systems
  • Statistical physics

Background:

  • Real-world networks often feature nodes that cooperate in groups to improve system robustness.
  • Interdependent networks, where nodes rely on each other, are vulnerable to cascading failures under attack.
  • Existing models may not fully capture the cooperative behavior and group dynamics observed in natural systems.

Purpose of the Study:

  • To introduce and analyze a novel percolation model, termed group percolation, for interdependent networks.
  • To investigate how group formation impacts network resilience under attack.
  • To explore the nature of phase transitions in group percolation models.

Main Methods:

  • Development of a theoretical framework for group percolation in interdependent networks.
  • Simulation and mathematical analysis of network behavior under attack with group constraints.
  • Application of the model to interdependent networks with intersimilarity structures.

    • Main Results:

    • Group formation significantly enhances the resilience of interdependent networks.
    • The group percolation transition is consistently of the first order, irrespective of group size distribution.
    • Continuous phase transitions were confirmed to be absent in interdependent networks with intersimilarity structures mapped onto the group percolation model.

    Conclusions:

    • Group percolation provides a valuable framework for understanding resilience in cooperative network systems.
    • The inherent first-order transition in group percolation limits the possibility of continuous phase transitions in such systems.
    • The findings have implications for designing more robust interdependent network infrastructures.