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Weighted multiplex networks.

Giulia Menichetti1, Daniel Remondini1, Pietro Panzarasa2

  • 1Department of Physics and Astronomy and INFN Sez. Bologna, Bologna University, Bologna, Italy.

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Summary
This summary is machine-generated.

Analyzing multiplex networks reveals that isolated layer analysis misses crucial information. Studying weighted multiplex networks, like co-authorship and citation networks, captures significant correlations between structure and weights, offering a more complete understanding.

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Area of Science:

  • Network Science
  • Complex Systems
  • Information Theory

Background:

  • Quantifying information in complex network structures is a key challenge.
  • Multiplex networks, with multiple interacting layers, present unique analytical difficulties.
  • Analyzing individual layers of multiplex networks can lead to incomplete information capture.

Purpose of the Study:

  • To demonstrate the failure of partial layer analysis in capturing multiplex network information.
  • To highlight the correlations between weights and topology in weighted multiplex networks.
  • To introduce a framework for quantifying undetected information in multiplex networks.

Main Methods:

  • Analysis of two weighted multiplex co-authorship and citation networks from the American Physical Society.
  • Investigation of correlations between network weights and topological structures.
  • Development of a theoretical framework using the entropy of multiplex ensembles.

Main Results:

  • Significant correlations between weights and the multiplex structure were identified.
  • Weighted measures, such as multistrength and inverse multiparticipation ratio, are advantageous.
  • Partial analysis of single layers fails to capture substantial information.

Conclusions:

  • Weighted measures are essential for a comprehensive understanding of multiplex networks.
  • The proposed entropy-based framework quantifies information missed by isolated layer analysis.
  • Holistic analysis of multiplex networks is crucial for accurate information assessment.