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 multipex network
constructed from London rail and European air transportation datasets.
%0 Journal Article
%1 Hackett2016Bond
%A Hackett, A.
%A Cellai, D.
%A Gómez, S.
%A Arenas, A.
%A Gleeson, J. . P.
%D 2016
%J Physical Review X
%K multiplex-networks correlations bond-percolation
%N 2
%P 021002+
%R 10.1103/PhysRevX.6.021002
%T Bond Percolation on Multiplex Networks
%U http://dx.doi.org/10.1103/PhysRevX.6.021002
%V 6
%X 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 multipex network
constructed from London rail and European air transportation datasets.
@article{Hackett2016Bond,
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 multipex network
constructed from London rail and European air transportation datasets.}},
added-at = {2019-06-10T14:53:09.000+0200},
archiveprefix = {arXiv},
author = {Hackett, A. and Cellai, D. and G\'{o}mez, S. and Arenas, A. and Gleeson, J. . P.},
biburl = {https://www.bibsonomy.org/bibtex/2e48a290fd9da2d67de978533afa01870/nonancourt},
citeulike-article-id = {13780098},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevX.6.021002},
citeulike-linkout-1 = {http://arxiv.org/abs/1509.09132},
citeulike-linkout-2 = {http://arxiv.org/pdf/1509.09132},
day = 1,
doi = {10.1103/PhysRevX.6.021002},
eprint = {1509.09132},
interhash = {6b7a53f3211ddd2aee52a842db81f017},
intrahash = {e48a290fd9da2d67de978533afa01870},
issn = {2160-3308},
journal = {Physical Review X},
keywords = {multiplex-networks correlations bond-percolation},
month = apr,
number = 2,
pages = {021002+},
posted-at = {2015-10-01 11:20:45},
priority = {2},
timestamp = {2019-08-23T11:01:11.000+0200},
title = {{Bond Percolation on Multiplex Networks}},
url = {http://dx.doi.org/10.1103/PhysRevX.6.021002},
volume = 6,
year = 2016
}