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Distance distribution in extreme modular networks.

Eitan E Asher1, Hillel Sanhedrai1, Nagendra K Panduranga2

  • 1Department of Physics, Bar-Ilan University, Ramat Gan 5290002, Israel.

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|March 15, 2020
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Summary
This summary is machine-generated.

This study introduces analytical methods to understand shortest path distributions in highly modular complex networks. The findings reveal a multi-peaked distribution reflecting paths traversing multiple modules.

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Area of Science:

  • Network Science
  • Complex Systems Analysis
  • Graph Theory

Background:

  • Real-world large-scale networks, including transportation, communication, and social media, often exhibit modular structures.
  • Understanding shortest path length distributions is crucial for analyzing processes like diffusion and flow in these networks.

Purpose of the Study:

  • To develop and validate analytical methods for calculating shortest path length distributions in networks with extreme modularity.
  • To investigate how interlink properties (weighted, random, or specific node connections) affect path distributions.

Main Methods:

  • Development of analytical models to predict shortest path length distributions.
  • Simulations on large-scale networks with extreme modular structures (modules connected by at most one link).
  • Analysis of scenarios with weighted interlinks and different interlink distribution strategies.

Main Results:

  • Analytical methods show good agreement with simulation results for highly modular networks.
  • The shortest path length distribution exhibits multiple peaks, indicating paths passing through various modules.
  • The distribution is influenced by the weighting and placement of interlinks between modules.

Conclusions:

  • The proposed analytical framework accurately models shortest path distributions in extremely modular networks.
  • The multi-peaked distribution provides insights into network topology and information flow across modules.
  • Network modularity significantly impacts path characteristics, with interlink properties playing a key role.