Communicability reveals a transition to coordinated behavior in multiplex networks

Ernesto Estrada, Jesus Gomez-Gardenes

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Abstract

We analyse the flow of information in multiplex networks by means of the communicability function. First, we generalize this measure from its definition from simple graphs to multiplex networks. Then, we study its relevance for the analysis of real-world systems by studying a social multiplex where information flows using formal/informal channels and an air transportation system where the layers represent different air companies. Accordingly, the communicability, which is essential for the good performance of these complex systems, emerges at a systemic operation point in the multiplex where the performance of the layers operates in a coordinated way very differently from the state represented by a collection of unconnected networks.
Original languageEnglish
Article number042819
Number of pages6
JournalPhysical Review E
Volume89
Early online date30 Apr 2014
DOIs
Publication statusPublished - 2014

Keywords

  • multiplex networks
  • communicability function
  • simple graphs
  • information flow

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