Eigenvector centrality of nodes in multiplex networks

We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type centralities. In addition, we rigorously show that, under reasonab...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2013-09, Vol.23 (3), p.033131-033131
Main Authors: Solá, Luis, Romance, Miguel, Criado, Regino, Flores, Julio, García del Amo, Alejandro, Boccaletti, Stefano
Format: Article
Language:English
Subjects:
Algorithms
Biophysics - methods
Computer Simulation
Humans
Models, Neurological
Social Support
Systems Theory
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Summary:We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type centralities. In addition, we rigorously show that, under reasonable conditions, such centrality measures exist and are unique. Computer experiments and simulations demonstrate that the proposed measures provide substantially different results when applied to the same multiplex structure, and highlight the non-trivial relationships between the different measures of centrality introduced.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4818544