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Bond percolation on multiplex networks

  • Datos identificativos

    Identificador: imarina:9282621
    Autores:
    Hackett, ACellai, DGomez, SArenas, AGleeson, J P
    Resumen:
    We present an analytical approach for bond percolation on multiplex networks and use it to determine the expected size of the giant connected component and the value of the critical bond occupation probability in these networks. We advocate the relevance of these tools to the modeling of multilayer robustness and contribute to the debate on whether any benefit is to be yielded from studying a full multiplex structure as opposed to its monoplex projection, especially in the seemingly irrelevant case of a bond occupation probability that does not depend on the layer. Although we find that in many cases the predictions of our theory for multiplex networks coincide with previously derived results for monoplex networks, we also uncover the remarkable result that for a certain class of multiplex networks, well described by our theory, new critical phenomena occur as multiple percolation phase transitions are present. We provide an instance of this phenomenon in a multiplex network constructed from London rail and European air transportation data sets.
  • Otros:

    Autor según el artículo: Hackett, A; Cellai, D; Gomez, S; Arenas, A; Gleeson, J P
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
    Palabras clave: Solvents Percolation (solid state) Occupation probability Multiplex networks Multiple percolation London rail Critical phenomenon Connected component Bond percolation Analytical approach Air transportation
    Resumen: We present an analytical approach for bond percolation on multiplex networks and use it to determine the expected size of the giant connected component and the value of the critical bond occupation probability in these networks. We advocate the relevance of these tools to the modeling of multilayer robustness and contribute to the debate on whether any benefit is to be yielded from studying a full multiplex structure as opposed to its monoplex projection, especially in the seemingly irrelevant case of a bond occupation probability that does not depend on the layer. Although we find that in many cases the predictions of our theory for multiplex networks coincide with previously derived results for monoplex networks, we also uncover the remarkable result that for a certain class of multiplex networks, well described by our theory, new critical phenomena occur as multiple percolation phase transitions are present. We provide an instance of this phenomenon in a multiplex network constructed from London rail and European air transportation data sets.
    Áreas temáticas: Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Matemática / probabilidade e estatística General physics and astronomy Engenharias iv Astronomia / física
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: sergio.gomez@urv.cat alexandre.arenas@urv.cat
    Identificador del autor: 0000-0003-1820-0062 0000-0003-0937-0334
    Fecha de alta del registro: 2024-09-28
    Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
    Enlace a la fuente original: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.6.021002
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Physical Review x. 6 (2): 021002-
    Referencia de l'ítem segons les normes APA: Hackett, A; Cellai, D; Gomez, S; Arenas, A; Gleeson, J P (2016). Bond percolation on multiplex networks. Physical Review x, 6(2), 021002-. DOI: 10.1103/PhysRevX.6.021002
    DOI del artículo: 10.1103/PhysRevX.6.021002
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2016
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Physics and Astronomy (Miscellaneous),Physics, Multidisciplinary
    Solvents
    Percolation (solid state)
    Occupation probability
    Multiplex networks
    Multiple percolation
    London rail
    Critical phenomenon
    Connected component
    Bond percolation
    Analytical approach
    Air transportation
    Physics, multidisciplinary
    Physics and astronomy (miscellaneous)
    Physics and astronomy (all)
    Matemática / probabilidade e estatística
    General physics and astronomy
    Engenharias iv
    Astronomia / física
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