Articles producció científica> Enginyeria Informàtica i Matemàtiques

Multilayer networks

  • Identification data

    Identifier: imarina:9282569
    Authors:
    Kivelä MArenas ABarthelemy MGleeson JPMoreno YPorter MA
    Abstract:
    In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time and include other types of complications. Such systems include multiple subsystems and layers of connectivity, and it is important to take such 'multilayer' features into account to try to improve our understanding of complex systems. Consequently, it is necessary to generalize 'traditional' network theory by developing (and validating) a framework and associated tools to study multilayer systems in a comprehensive fashion. The origins ofsuch efforts date back several decades and arose in multiple disciplines, and now the study of multilayer networks has become one of the most important directions in network science. In this paper, we discuss the history of multilayer networks (and related concepts) and review the exploding body of work on such networks. To unify the disparate terminology in the large body of recent work, we discuss a general framework for multilayer networks, construct a dictionary of terminology to relate the numerous existing concepts to each other and provide a thorough discussion that compares, contrasts and translates between related notions such as multilayer networks, multiplex networks, interdependent networks, networks of networks and many others. We also survey and discuss existing data sets that can be represented as multilayer networks. We review attempts to generalize single-layer-network diagnostics to multilayer networks. We also discuss the rapidly expanding research on multilayer-network models and notions like community structure, connected components, tensor decompositions and various types of dynamical processes on multilayer networks. We conclude with a summary
  • Others:

    Author, as appears in the article.: Kivelä M; Arenas A; Barthelemy M; Gleeson JP; Moreno Y; Porter MA
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Arenas Moreno, Alejandro
    Keywords: Terminology Tensor decomposition Structural analysis of networks Network layers Multiple subsystems Multiple disciplines Multilayers Multilayer networks Multilayer network models Multi-layer network Models of networks Mathematical analysis and simulations of networks Mathematical analysis Dynamical systems on networks Dynamical systems Data reduction Data analysis Connected component Community structures
    Abstract: In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time and include other types of complications. Such systems include multiple subsystems and layers of connectivity, and it is important to take such 'multilayer' features into account to try to improve our understanding of complex systems. Consequently, it is necessary to generalize 'traditional' network theory by developing (and validating) a framework and associated tools to study multilayer systems in a comprehensive fashion. The origins ofsuch efforts date back several decades and arose in multiple disciplines, and now the study of multilayer networks has become one of the most important directions in network science. In this paper, we discuss the history of multilayer networks (and related concepts) and review the exploding body of work on such networks. To unify the disparate terminology in the large body of recent work, we discuss a general framework for multilayer networks, construct a dictionary of terminology to relate the numerous existing concepts to each other and provide a thorough discussion that compares, contrasts and translates between related notions such as multilayer networks, multiplex networks, interdependent networks, networks of networks and many others. We also survey and discuss existing data sets that can be represented as multilayer networks. We review attempts to generalize single-layer-network diagnostics to multilayer networks. We also discuss the rapidly expanding research on multilayer-network models and notions like community structure, connected components, tensor decompositions and various types of dynamical processes on multilayer networks. We conclude with a summary and an outlook. © The Authors 2014.
    Thematic Areas: Mathematics, interdisciplinary applications Management science and operations research Economia Direito Control and optimization Computer networks and communications Computational mathematics Ciencias sociales Ciência da computação Biodiversidade Astronomia / física Applied mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: alexandre.arenas@urv.cat
    Author identifier: 0000-0003-0937-0334
    Record's date: 2024-07-27
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://academic.oup.com/comnet/article/2/3/203/2841130
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Journal Of Complex Networks. 2 (3): 203-271
    APA: Kivelä M; Arenas A; Barthelemy M; Gleeson JP; Moreno Y; Porter MA (2014). Multilayer networks. Journal Of Complex Networks, 2(3), 203-271. DOI: 10.1093/comnet/cnu016
    Article's DOI: 10.1093/comnet/cnu016
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2014
    Publication Type: Journal Publications
  • Keywords:

    Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Control and Optimization,Management Science and Operations Research,Mathematics, Interdisciplinary Applications
    Terminology
    Tensor decomposition
    Structural analysis of networks
    Network layers
    Multiple subsystems
    Multiple disciplines
    Multilayers
    Multilayer networks
    Multilayer network models
    Multi-layer network
    Models of networks
    Mathematical analysis and simulations of networks
    Mathematical analysis
    Dynamical systems on networks
    Dynamical systems
    Data reduction
    Data analysis
    Connected component
    Community structures
    Mathematics, interdisciplinary applications
    Management science and operations research
    Economia
    Direito
    Control and optimization
    Computer networks and communications
    Computational mathematics
    Ciencias sociales
    Ciência da computação
    Biodiversidade
    Astronomia / física
    Applied mathematics
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