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• W2080893471 abstract "Bootstrap percolation is a simple but nontrivial model. It has applications in many areas of science and has been explored on random networks for several decades. In single-layer (simplex) networks, it has been recently observed that bootstrap percolation, which is defined as an incremental process, can be seen as the opposite of pruning percolation, where nodes are removed according to a connectivity rule. Here we propose models of both bootstrap and pruning percolation for multiplex networks. We collectively refer to these two models with the concept of ``weak'' percolation, to distinguish them from the somewhat classical concept of ordinary (``strong'') percolation. While the two models coincide in simplex networks, we show that they decouple when considering multiplexes, giving rise to a wealth of critical phenomena. Our bootstrap model constitutes the simplest example of a contagion process on a multiplex network and has potential applications in critical infrastructure recovery and information security. Moreover, we show that our pruning percolation model may provide a way to diagnose missing layers in a multiplex network. Finally, our analytical approach allows us to calculate critical behavior and characterize critical clusters." @default.
• W2080893471 created "2016-06-24" @default.
• W2080893471 creator A5001981213 @default.
• W2080893471 creator A5018555355 @default.
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• W2080893471 date "2014-04-03" @default.
• W2080893471 modified "2023-09-26" @default.
• W2080893471 title "Weak percolation on multiplex networks" @default.
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• W2080893471 doi "https://doi.org/10.1103/physreve.89.042801" @default.
• W2080893471 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/24827287" @default.
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