Percolation Theory on Interdependent Networks Based on Epidemic Spreading

Details Percolation Theory on Interdependent Networks Based on Epidemic Spreading Percolation Theory on Interdependent Networks Based on Epidemic Spreading

2011-09-20

arxiv.org/abs/1109.4447v1

EPL 97, 16006 (2012)

Physics

Data Analysis, Statistics and Probability

6 pages, 5 figures

Scientific paper

10.1209/0295-5075/97/16006

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.

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