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Pseudo-Darwinian evolution of physical flows in complex networks
Geoffroy Berthelot1,2,3, Liubov Tupikina4,5, Min-Yeong Kang6
1Centre de Mathématiques Appliquées, CNRS - Ecole Polytechnique, IP Paris, 91128, Palaiseau, France.
Scientific Reports
|September 24, 2020
Summary
Complex transport networks face collapse when links are removed. Network robustness against failures and attacks depends on the initial average number of links per node.
Area of Science:
- Network Science
- Complex Systems
- Transport Dynamics
Background:
- Understanding the resilience of complex transport networks is crucial for infrastructure stability.
- Network evolution under various link removal strategies impacts overall functionality and flux.
Purpose of the Study:
- To investigate the impact of different link removal strategies (random, intentional attack, Pseudo-Darwinian) on complex transport networks.
- To analyze the evolution of network structure and total flux under these removal strategies.
Main Methods:
- Simulated link removal from transport networks using three distinct strategies: random, strongest flux, and weakest flux.
- Monitored network structure and total flux between source and drain nodes at each evolutionary step.
Main Results:
- A universal power-law decrease in total network flux was observed across all strategies, preceding a sudden transport collapse.
- The timing of this transport collapse is directly correlated with the initial average number of links per node.
Conclusions:
- The initial average number of links per node is a critical factor determining network robustness against failures, attacks, and maintenance.
- This finding emphasizes the importance of network topology in ensuring safe and reliable transport systems.
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