Study on the robust control of higher-order networks.
Fuxiang Ma1, Wenqian Yu1,2, Xiujuan Ma3,4
1College of Computer Science, Qinghai Normal University, Qinghai, 810000, China.
Scientific Reports
|February 27, 2025
Summary
This study explores higher-order networks for complex interactions. Findings show larger networks and controlled simplex weights enhance robustness against attacks, crucial for resilient systems.
Area of Science:
- Network Science
- Complex Systems Analysis
- Information Technology
Background:
- Traditional networks struggle with multidimensional interactions.
- Higher-order networks offer a more suitable framework.
- Network robustness is critical for system resilience.
Purpose of the Study:
- Investigate methods to improve higher-order network robustness.
- Analyze the impact of network structure and parameters on resilience.
Main Methods:
- Construction of two higher-order networks using simplex structures.
- Proposal of a capacity load model to assess robustness.
- Simulation analysis under two distinct attack strategies.
Main Results:
- Network robustness positively correlates with higher-order network size.
- The number of 2-simplexes and interaction weight coefficients significantly impact robustness.
- Larger networks demonstrate greater resilience to attacks.
Conclusions:
- Higher-order network robustness can be enhanced by increasing network size.
- Adjusting weight coefficients of 1-simplex and 2-simplex interactions is a viable strategy for improving robustness.
- Findings validated on synthetic and real-world network data.
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