%0 Journal Article %1 Bianconi2015Mutually %A Bianconi, Ginestra %A Dorogovtsev, Sergey N. %A Mendes, José F. F. %D 2015 %J Physical Review E %K networks-of-networks, percolation multiplex-networks %N 1 %R 10.1103/PhysRevE.91.012804 %T Mutually connected component of networks of networks with replica nodes %U http://dx.doi.org/10.1103/PhysRevE.91.012804 %V 91 %X We describe a giant mutually connected component in a wide class of networks of networks. We prove that if in these networks, all the nodes of one network (layer) are interdependent on the nodes of the same other interconnected layer, then, remarkably, the mutually connected component does not depend on the topology of the network of networks. This component coincides with the mutual component of the fully connected network of networks constructed from the same set of layers, i.e., a multiplex graph.

@article{Bianconi2015Mutually, abstract = {{We describe a giant mutually connected component in a wide class of networks of networks. We prove that if in these networks, all the nodes of one network (layer) are interdependent on the nodes of the same other interconnected layer, then, remarkably, the mutually connected component does not depend on the topology of the network of networks. This component coincides with the mutual component of the fully connected network of networks constructed from the same set of layers, i.e., a multiplex graph.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Bianconi, Ginestra and Dorogovtsev, Sergey N. and Mendes, Jos\'{e} F. F.}, biburl = {https://www.bibsonomy.org/bibtex/2334dc41ef3afd466b65f9efa840175bc/nonancourt}, citeulike-article-id = {12953111}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.91.012804}, citeulike-linkout-1 = {http://arxiv.org/abs/1402.0215}, citeulike-linkout-2 = {http://arxiv.org/pdf/1402.0215}, day = 7, doi = {10.1103/PhysRevE.91.012804}, eprint = {1402.0215}, interhash = {a1d9e9394ade162d67b0e66d4e76de84}, intrahash = {334dc41ef3afd466b65f9efa840175bc}, issn = {1550-2376}, journal = {Physical Review E}, keywords = {networks-of-networks, percolation multiplex-networks}, month = jan, number = 1, posted-at = {2014-02-04 17:36:20}, priority = {2}, timestamp = {2019-07-31T12:37:21.000+0200}, title = {{Mutually connected component of networks of networks with replica nodes}}, url = {http://dx.doi.org/10.1103/PhysRevE.91.012804}, volume = 91, year = 2015 }