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Related Experiment Video

Updated: Feb 10, 2026

Analyzing the Size, Shape, and Directionality of Networks of Coupled Astrocytes

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Published on: October 4, 2018

Group percolation in interdependent networks.

Zexun Wang^1,2, Dong Zhou³, Yanqing Hu¹

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

Physical Review. E

|May 20, 2018

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.