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Bond percolation on multiplex networks

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dc.contributor.author Hackett, Adam W.
dc.contributor.author Cellai, Davide
dc.contributor.author Gomez, S.
dc.contributor.author Arenas, A.
dc.contributor.author Gleeson, James P.
dc.date.accessioned 2016-08-26T10:43:23Z
dc.date.available 2016-08-26T10:43:23Z
dc.date.issued 2016
dc.identifier.uri http://hdl.handle.net/10344/5156
dc.description peer-reviewed en_US
dc.description.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. en_US
dc.language.iso eng en_US
dc.publisher American Physical Society en_US
dc.relation Grant No 317614 en_US
dc.relation.ispartofseries Physical Review X;6, 021002
dc.relation.uri http://dx.doi.org/10.1103/PhysRevX.6.021002
dc.rights Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the publised article’s title, journal citation, and DOI en_US
dc.subject interdependent networks en_US
dc.subject failures en_US
dc.title Bond percolation on multiplex networks en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.date.updated 2016-08-26T09:14:15Z
dc.description.version PUBLISHED
dc.identifier.doi 10.1103/PhysRevX.6.021002
dc.contributor.sponsor ERC en_US
dc.contributor.sponsor ICREA Academia, Generalitat de Catalunya en_US
dc.contributor.sponsor James S. McDonnell Foundation en_US
dc.contributor.sponsor SFI en_US
dc.relation.projectid 317614 en_US
dc.relation.projectid 11/PI/1026 en_US
dc.relation.projectid 09/SRC/E1780 en_US
dc.relation.projectid 14/IF/2461 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 1634724
dc.internal.copyrightchecked Yes
dc.description.status peer-reviewed


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