The structure and dynamics of multilayer networks |
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| Authors: | S. Boccaletti,G. Bianconi,R. Criado,C.I. del Genio,J. Gó mez-Gardeñ es,M. Romance,I. Sendiñ a-Nadal,Z. Wang,M. Zanin |
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| Affiliation: | 1. CNR - Institute of Complex Systems, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Florence, Italy;2. The Italian Embassy in Israel, 25 Hamered st., 68125 Tel Aviv, Israel;3. School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom;4. Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain;5. Center for Biomedical Technology, Universidad Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Spain;6. Warwick Mathematics Institute, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom;g Centre for Complexity Science, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom;h Warwick Infectious Disease Epidemiology Research (WIDER) Centre, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom;i Institute for Biocomputation and Physics of Complex Systems, University of Zaragoza, Zaragoza, Spain;j Complex Systems Group, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain;k Department of Physics, Hong Kong Baptist University, Kowloon Tong, Hong Kong Special Administrative Region;l Center for Nonlinear Studies, Beijing–Hong Kong–Singapore Joint Center for Nonlinear and Complex Systems (Hong Kong) and Institute of Computational and Theoretical Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong Special Administrative Region;m Innaxis Foundation & Research Institute, José Ortega y Gasset 20, 28006 Madrid, Spain;n Faculdade de Ciências e Tecnologia, Departamento de Engenharia Electrotécnica, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal |
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| Abstract: | In the past years, network theory has successfully characterized the interaction among the constituents of a variety of complex systems, ranging from biological to technological, and social systems. However, up until recently, attention was almost exclusively given to networks in which all components were treated on equivalent footing, while neglecting all the extra information about the temporal- or context-related properties of the interactions under study. Only in the last years, taking advantage of the enhanced resolution in real data sets, network scientists have directed their interest to the multiplex character of real-world systems, and explicitly considered the time-varying and multilayer nature of networks. We offer here a comprehensive review on both structural and dynamical organization of graphs made of diverse relationships (layers) between its constituents, and cover several relevant issues, from a full redefinition of the basic structural measures, to understanding how the multilayer nature of the network affects processes and dynamics. |
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