Cascade and breakdown in scale-free networks with community structure
Jian-jun Wu1, Zi-you Gao, Hui-jun Sun
1State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University Beijing, 100044, People' Republic of China. wjj419@sohu.com
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
Summary
Networks with smaller community structure (modularity) are more prone to cascade failures. Increasing modularity and reserve capacity can delay network breakdown, crucial for real-world systems like power grids.
Area of Science:
- Complex networks
- Network science
- Systems engineering
Background:
- Scale-free networks exhibit community structure.
- Cascade failures are a significant risk in interconnected systems.
- Understanding network resilience is critical for infrastructure management.
Purpose of the Study:
- To investigate cascade failures in scale-free networks with community structure.
- To analyze the impact of modularity on cascade propagation.
- To evaluate the effectiveness of different removal strategies on network resilience.
Main Methods:
- Simulating cascade propagation in scale-free networks with varying modularity parameters.
- Analyzing the relationship between modularity, reserve capacity, and network breakdown.
- Assessing the influence of node removal strategies on cascade aftereffects.
Main Results:
- Networks with lower modularity are more susceptible to cascade failures.
- Higher modularity and reserve capacity significantly delay network breakdown.
- Node removal strategies have a notable impact on cascade failure outcomes.
Conclusions:
- Modularity is a key factor in the resilience of scale-free networks with community structure.
- Strategies that increase modularity and reserve capacity can enhance network robustness.
- Findings are relevant for improving the stability of critical infrastructure networks.
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