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Interplay between function and structure in complex networks.

Timothy C Jarrett1, Douglas J Ashton, Mark Fricker

  • 1Physics Department, Oxford University, Oxford OX1 3PU, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
PubMed
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Small changes in transport congestion can cause abrupt network structure shifts. This explains the diversity of natural networks, like fungal systems, under similar conditions.

Area of Science:

  • Network science
  • Systems biology
  • Theoretical ecology

Background:

  • Biological and social systems often exhibit complex network structures.
  • Understanding the drivers of network diversity is a key challenge.

Purpose of the Study:

  • To explain the emergence of diverse network structures in nature.
  • To investigate the impact of transport congestion on network topology.

Main Methods:

  • Developed an exactly solvable model for network analysis.
  • Applied a renormalization scheme with cost motifs.
  • Analyzed average shortest path in multi-ring-and-hub networks.

Main Results:

  • Abrupt structural transitions in functionally optimal networks driven by transport congestion.

Related Experiment Videos

  • Identified a "skin effect" in multi-ring-and-hub networks.
  • Inner core structure becomes irrelevant to average shortest path due to the skin effect.

    • Conclusions:

    • Transport congestion is a critical factor shaping network diversity.
    • The "skin effect" simplifies the understanding of large, complex networks.
    • Provides a theoretical framework for diverse network structures in natural systems.