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We analyse the flow of information in multiplex networks by means of thecommunicability function. First, we generalize this measure from its definitionfrom simple graphs to multiplex networks. Then, we study its relevance for theanalysis of real-world systems by studying a social multiplex where informationflows using formal/informal channels and an air transportation system where thelayers represent different air companies. Accordingly, the communicability,which is essential for the good performance of these complex systems, emergesat a systemic operation point in the multiplex where the performance of thelayers operates in a coordinated way very differently from the staterepresented by a collection of unconnected networks.

Communicability reveals a transition to coordinated behavior in multiplex networks