Ranking in interconnected multilayer networks reveals versatile nodes

Manlio De Domenico (), Albert Solé-Ribalta, Elisa Omodei, Sergio Gómez and Alex Arenas ()
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Manlio De Domenico: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili
Albert Solé-Ribalta: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili
Elisa Omodei: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili
Sergio Gómez: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili
Alex Arenas: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili

Nature Communications, 2015, vol. 6, issue 1, 1-6

Abstract: Abstract The determination of the most central agents in complex networks is important because they are responsible for a faster propagation of information, epidemics, failures and congestion, among others. A challenging problem is to identify them in networked systems characterized by different types of interactions, forming interconnected multilayer networks. Here we describe a mathematical framework that allows us to calculate centrality in such networks and rank nodes accordingly, finding the ones that play the most central roles in the cohesion of the whole structure, bridging together different types of relations. These nodes are the most versatile in the multilayer network. We investigate empirical interconnected multilayer networks and show that the approaches based on aggregating—or neglecting—the multilayer structure lead to a wrong identification of the most versatile nodes, overestimating the importance of more marginal agents and demonstrating the power of versatility in predicting their role in diffusive and congestion processes.

Date: 2015
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DOI: 10.1038/ncomms7868

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