We develop the theory of sparse multiplex networks with partially overlapping
links based on their local tree-likeness. This theory enables us to find the
giant mutually connected component in a two-layer multiplex network with
arbitrary correlations between connections of different types. We find that
correlations between the overlapping and non-overlapping links markedly change
the phase diagram of the system, leading to multiple hybrid phase transitions.
For assortative correlations we observe recurrent hybrid phase transitions.
%0 Journal Article
%1 Baxter2016Correlated
%A Baxter, Gareth J.
%A Bianconi, Ginestra
%A da Costa, Rui A.
%A Dorogovtsev, Sergey N.
%A Mendes, José F. F.
%D 2016
%J Physical Review E
%K edge-overlap, percolation multiplex-networks
%N 1
%R 10.1103/PhysRevE.94.012303
%T Correlated edge overlaps in multiplex networks
%U http://dx.doi.org/10.1103/PhysRevE.94.012303
%V 94
%X We develop the theory of sparse multiplex networks with partially overlapping
links based on their local tree-likeness. This theory enables us to find the
giant mutually connected component in a two-layer multiplex network with
arbitrary correlations between connections of different types. We find that
correlations between the overlapping and non-overlapping links markedly change
the phase diagram of the system, leading to multiple hybrid phase transitions.
For assortative correlations we observe recurrent hybrid phase transitions.
@article{Baxter2016Correlated,
abstract = {{We develop the theory of sparse multiplex networks with partially overlapping
links based on their local tree-likeness. This theory enables us to find the
giant mutually connected component in a two-layer multiplex network with
arbitrary correlations between connections of different types. We find that
correlations between the overlapping and non-overlapping links markedly change
the phase diagram of the system, leading to multiple hybrid phase transitions.
For assortative correlations we observe recurrent hybrid phase transitions.}},
added-at = {2019-06-10T14:53:09.000+0200},
archiveprefix = {arXiv},
author = {Baxter, Gareth J. and Bianconi, Ginestra and da Costa, Rui A. and Dorogovtsev, Sergey N. and Mendes, Jos\'{e} F. F.},
biburl = {https://www.bibsonomy.org/bibtex/27f4cedd4b158e663749a45c3dd739e47/nonancourt},
citeulike-article-id = {13934049},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.94.012303},
citeulike-linkout-1 = {http://arxiv.org/abs/1602.03447},
citeulike-linkout-2 = {http://arxiv.org/pdf/1602.03447},
day = 6,
doi = {10.1103/PhysRevE.94.012303},
eprint = {1602.03447},
interhash = {bab1b4c00326cc96f24f10ce0e10ff84},
intrahash = {7f4cedd4b158e663749a45c3dd739e47},
issn = {2470-0053},
journal = {Physical Review E},
keywords = {edge-overlap, percolation multiplex-networks},
month = jul,
number = 1,
posted-at = {2016-02-16 23:29:40},
priority = {2},
timestamp = {2019-07-31T12:37:21.000+0200},
title = {{Correlated edge overlaps in multiplex networks}},
url = {http://dx.doi.org/10.1103/PhysRevE.94.012303},
volume = 94,
year = 2016
}