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Bond percolation on multiplex networks

  • Identification data

    Identifier: imarina:9282621
  • Authors:

    Hackett A
    Cellai D
    Gómez S
    Arenas A
    Gleeson JP
    Physical Review x
    10.1103/PhysRevX.6.021002
    Physical Review x. 6 (2):
  • Others:

    Author, as appears in the article.: Hackett A; Cellai D; Gómez S; Arenas A; Gleeson JP
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
    Keywords: Solvents Percolation (solid state) Occupation probability Multiplex networks Multiple percolation London rail Critical phenomenon Connected component Bond percolation Analytical approach Air transportation
    Abstract: 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.
    Thematic Areas: Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Matemática / probabilidade e estatística General physics and astronomy Engenharias iv Astronomia / física
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: sergio.gomez@urv.cat alexandre.arenas@urv.cat
    Author identifier: 0000-0003-1820-0062 0000-0003-0937-0334
    Record's date: 2024-07-20
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.6.021002
    Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Physical Review x. 6 (2):
    APA: Hackett A; Cellai D; Gómez S; Arenas A; Gleeson JP (2016). Bond percolation on multiplex networks. Physical Review x, 6(2), -. DOI: 10.1103/PhysRevX.6.021002
    Article's DOI: 10.1103/PhysRevX.6.021002
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2016
    Publication Type: Journal Publications
  • Keywords:

    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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