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Bond percolation on multiplex networks

  • Dades identificatives

    Identificador: imarina:9282621
    Autors:
    Hackett, ACellai, DGomez, SArenas, AGleeson, J P
    Resum:
    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.
  • Altres:

    Autor segons l'article: Hackett, A; Cellai, D; Gomez, S; Arenas, A; Gleeson, J P
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
    Paraules clau: Solvents Percolation (solid state) Occupation probability Multiplex networks Multiple percolation London rail Critical phenomenon Connected component Bond percolation Analytical approach Air transportation
    Resum: 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.
    Àrees temàtiques: Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Matemática / probabilidade e estatística General physics and astronomy Engenharias iv Astronomia / física
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: sergio.gomez@urv.cat alexandre.arenas@urv.cat
    Identificador de l'autor: 0000-0003-1820-0062 0000-0003-0937-0334
    Data d'alta del registre: 2024-09-28
    Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
    Enllaç font original: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.6.021002
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Physical Review x. 6 (2): 021002-
    Referència 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 de l'article: 10.1103/PhysRevX.6.021002
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2016
    Tipus de publicació: Journal Publications
  • Paraules clau:

    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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