%0 Journal Article %1 Son2012Percolation %A Son, Seung-Woo %A Bizhani, Golnoosh %A Christensen, Claire %A Grassberger, Peter %A Paczuski, Maya %D 2012 %J EPL (Europhysics Letters) %K percolation epidemics tricritical-points interdependent-networks %N 1 %P 16006+ %R 10.1209/0295-5075/97/16006 %T Percolation theory on interdependent networks based on epidemic spreading %U http://dx.doi.org/10.1209/0295-5075/97/16006 %V 97 %X We consider percolation on interdependent locally treelike networks, recently introduced by Buldyrev et al., Nature 464, 1025 (2010), and demonstrate that the problem can be simplified conceptually by deleting all references to cascades of failures. Such cascades do exist, but their explicit treatment just complicates the theory -- which is a straightforward extension of the usual epidemic spreading theory on a single network. Our method has the added benefits that it is directly formulated in terms of an order parameter and its modular structure can be easily extended to other problems, e.g. to any number of interdependent networks, or to networks with dependency links.

@article{Son2012Percolation, abstract = {{We consider percolation on interdependent locally treelike networks, recently introduced by Buldyrev et al., Nature 464, 1025 (2010), and demonstrate that the problem can be simplified conceptually by deleting all references to cascades of failures. Such cascades do exist, but their explicit treatment just complicates the theory -- which is a straightforward extension of the usual epidemic spreading theory on a single network. Our method has the added benefits that it is directly formulated in terms of an order parameter and its modular structure can be easily extended to other problems, e.g. to any number of interdependent networks, or to networks with dependency links.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Son, Seung-Woo and Bizhani, Golnoosh and Christensen, Claire and Grassberger, Peter and Paczuski, Maya}, biburl = {https://www.bibsonomy.org/bibtex/23576fcccc7d4568985290a7944a8e2c8/nonancourt}, citeulike-article-id = {9790087}, citeulike-linkout-0 = {http://dx.doi.org/10.1209/0295-5075/97/16006}, citeulike-linkout-1 = {http://arxiv.org/abs/1109.4447}, citeulike-linkout-2 = {http://arxiv.org/pdf/1109.4447}, day = 1, doi = {10.1209/0295-5075/97/16006}, eprint = {1109.4447}, interhash = {3b8a699bd133ef6e6a61da7f57448d71}, intrahash = {3576fcccc7d4568985290a7944a8e2c8}, issn = {1286-4854}, journal = {EPL (Europhysics Letters)}, keywords = {percolation epidemics tricritical-points interdependent-networks}, month = jan, number = 1, pages = {16006+}, posted-at = {2011-12-08 12:43:09}, priority = {2}, timestamp = {2019-08-01T15:38:00.000+0200}, title = {{Percolation theory on interdependent networks based on epidemic spreading}}, url = {http://dx.doi.org/10.1209/0295-5075/97/16006}, volume = 97, year = 2012 }