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Ranking in interconnected multilayer networks reveals versatile nodes.

Manlio De Domenico1, Albert Solé-Ribalta1, Elisa Omodei2

  • 1Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.

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Identifying central nodes in complex networks is crucial for understanding information and epidemic spread. This study introduces a new framework to find the most versatile nodes in multilayer networks, improving predictions for diffusion and congestion processes.

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Area of Science:

  • Network Science
  • Complex Systems Analysis
  • Mathematical Modeling

Background:

  • Central agents in complex networks drive information, epidemic, and failure propagation.
  • Identifying key nodes in interconnected multilayer networks with diverse interactions is challenging.

Purpose of the Study:

  • To develop a mathematical framework for calculating and ranking node centrality in multilayer networks.
  • To identify the most versatile nodes that bridge different types of relations within the network structure.

Main Methods:

  • Development of a novel mathematical framework for multilayer network centrality calculation.
  • Analysis of empirical interconnected multilayer networks.
  • Comparison of multilayer analysis with aggregated or neglected network approaches.

Main Results:

  • The proposed framework accurately identifies versatile nodes crucial for network cohesion.
  • Aggregating or neglecting network layers leads to incorrect identification of central nodes.
  • Versatility is a powerful predictor of node roles in diffusion and congestion processes.

Conclusions:

  • The developed framework offers a robust method for analyzing centrality in complex multilayer networks.
  • Accurate identification of versatile nodes is essential for understanding network dynamics and preventing issues like congestion.
  • This research highlights the limitations of traditional network analysis methods when applied to multilayer systems.