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Community structure unveils the path multiplicity in complex networks.

Ye Deng1,2, Jun Wu3,4, Xin Lu5

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Community structure significantly influences path multiplicity in complex networks. This finding reveals an interface-driven effect that increases shortest paths, aiding network design.

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Area of Science:

  • Network Science
  • Complex Systems Analysis
  • Computational Social Science

Background:

  • Real-world networks exhibit significant heterogeneity in shortest paths between nodes.
  • The underlying mechanisms driving this path multiplicity remain largely unexplored.
  • Understanding path multiplicity is crucial for network analysis and optimization.

Purpose of the Study:

  • To identify key factors influencing path multiplicity in complex networks.
  • To introduce and analyze the concept of relative path multiplicity.
  • To develop a network model that replicates observed path multiplicity phenomena.

Main Methods:

  • Introduction of relative path multiplicity metric.
  • Correlation analysis between community structure and path multiplicity.
  • Targeted edge-rewiring experiments to validate findings.
  • Development of a tribal-structure-based network model.

Main Results:

  • Community structure is strongly correlated with path multiplicity, outperforming other network metrics.
  • An interface-driven effect at community boundaries sharply increases the number of shortest paths.
  • The proposed tribal-structure model successfully reproduces real-world network phenomena.

Conclusions:

  • Community structure is a primary driver of path multiplicity in complex networks.
  • The findings offer a mechanistic explanation for path heterogeneity.
  • This research has implications for network design, optimization, and understanding complex systems.