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Related Experiment Videos

Load distribution in weighted complex networks.

K-I Goh1, J D Noh, B Kahng

  • 1School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

We analyzed load distribution in weighted networks, finding power-law behavior in random and scale-free networks. This distribution is mainly determined by the minimum spanning tree structure, not local vertex properties.

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Area of Science:

  • Network Science
  • Statistical Physics
  • Complex Systems

Background:

  • Understanding load distribution is crucial for network robustness and efficiency.
  • Optimal paths in weighted networks depend on cost distribution functions.
  • Disorder in networks significantly impacts transport properties.

Purpose of the Study:

  • To investigate load distribution in weighted networks.
  • To determine how network topology (Erdös-Rényi vs. scale-free) affects load distribution.
  • To analyze the relationship between local structure (vertex degree) and global transport properties.

Main Methods:

  • Measuring the effective number of optimal paths through vertices.
  • Analyzing load distribution in Erdös-Rényi (ER) and scale-free (SF) networks under strong disorder.

Related Experiment Videos

  • Calculating the correlation coefficient between vertex degree and load.

    • Main Results:

    • Load distribution follows a power law in both ER and SF networks in the strong disorder limit.
    • Network characteristics are determined by the minimum spanning tree structure.
    • Global transport properties are not correlated with local structural information (vertex degree).
    • The effect of disorder is larger in ER networks compared to SF networks.

    Conclusions:

    • The minimum spanning tree structure dictates load distribution characteristics in weighted networks.
    • Local network topology does not directly correlate with global transport properties.
    • Scale-free networks exhibit different disorder effects compared to random networks.