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Transport collapse in dynamically evolving networks.

Geoffroy Berthelot1,2, Liubov Tupikina3,4,5, Min-Yeong Kang6

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The distance between source and drain nodes and source node degree impact transport collapse time in complex networks. Scale-free networks are more robust with direct links, especially under random failures.

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Area of Science:

  • Complex networks
  • Network science
  • Transport phenomena

Background:

  • Transport processes in biological, societal, and technological systems are modeled using complex networks.
  • The impact of source-drain node properties on network transport robustness under failures or attacks is not well understood.

Purpose of the Study:

  • To investigate how source-drain distance and source node degree influence transport collapse time in scale-free and lattice networks.
  • To evaluate the effectiveness of different link removal strategies (transport-based vs. random) on network stability.

Main Methods:

  • Numerical evaluation of transport collapse time in scale-free and lattice networks.
  • Simulation of random and transport-based link removal strategies.
  • Analysis of network properties like node degree and inter-node distance.

Main Results:

  • Scale-free networks with shorter source-drain distances exhibit longer transport collapse times.
  • Network dimension and boundary conditions significantly affect collapse time in lattice networks.
  • A direct link between source and drain enhances scale-free network robustness against random link removals.

Conclusions:

  • Source-drain node properties and network topology critically influence transport robustness.
  • Direct source-drain links improve resilience in scale-free networks, altering collapse time distributions.
  • Findings offer insights for optimizing network design and maintenance for reliable transport.