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Damage spreading in spatial and small-world random Boolean networks.

Qiming Lu1, Christof Teuscher2

  • 1Scientific Computing Division, Fermi National Accelerator Laboratory, Batavia, Illinois 60510-5011, USA.

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|October 30, 2014
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Summary
This summary is machine-generated.

Spatially local connections in Random Boolean Networks (RBNs) impact damage spreading and network stability. This study reveals how network topology affects robustness and wiring costs, offering engineering design insights.

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Area of Science:

  • Complex systems science
  • Network theory
  • Computational biology

Background:

  • Random Boolean Networks (RBNs) model complex system dynamics.
  • Traditional RBNs lack spatial considerations, unlike real-world networks.
  • Real-world networks exhibit diverse non-random connection patterns.

Purpose of the Study:

  • Investigate how spatially local connections affect damage spreading in RBNs.
  • Compare damage spreading across local, small-world, and random RBN topologies.
  • Analyze the impact of network topology on robustness, wiring cost, and communication.

Main Methods:

  • Simulated damage spreading in RBNs with varying topologies (local, small-world, random).
  • Analyzed Hamming distance scaling with connectivity (K) and system size (N).
  • Evaluated network wiring costs.

Main Results:

  • Spatially local connections alter Hamming distance scaling at low connectivities.
  • Critical connectivity for stability (K(s)) differs between local and random networks.
  • Hamming distance scales with system size via a power law, with distinct exponents for local and small-world networks.

Conclusions:

  • Network topology significantly influences damage spreading and stability in RBNs.
  • Local and small-world networks offer different trade-offs between robustness and wiring cost.
  • Findings provide engineering insights for designing robust and efficient complex networks.