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• W2609089972 abstract "We examine the heterogeneous responses of individual nodes in sparse networks to the random removal of a fraction of edges. Using the message-passing formulation of percolation, we discover considerable variation across the network in the probability of a particular node to remain part of the giant component, and in the expected size of small clusters containing that node. In the vicinity of the percolation threshold, weakly non-linear analysis reveals that node-to-node heterogeneity is captured by the recently introduced notion of non-backtracking centrality. We supplement these results for fixed finite networks by a population dynamics approach to analyse random graph models in the infinite system size limit, also providing closed-form approximations for the large mean degree limit of ErdH{o}s-R'enyi random graphs. Interpreted in terms of the application of percolation to real-world processes, our results shed light on the heterogeneous exposure of different nodes to cascading failures, epidemic spread, and information flow." @default.
• W2609089972 created "2017-05-05" @default.
• W2609089972 creator A5016412107 @default.
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• W2609089972 date "2017-06-01" @default.
• W2609089972 modified "2023-10-18" @default.
• W2609089972 title "Heterogeneous micro-structure of percolation in sparse networks" @default.
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• W2609089972 doi "https://doi.org/10.1209/0295-5075/118/68003" @default.
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