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- W3035847078 abstract "The resilience and fragility of real complex connected systems can be understood through their abrupt behaviors of functioning percolating node clusters against external perturbations based on a random or designed scheme. For the models of the phenomena of the discontinuous transitions against random damages, previous studies focus on the introduction of new dependency or interaction among nodes to generate a more aggressive network breakdown process in the case of networks with undirected interactions or the coupling between layers with different types of interactions to bring about cascading failures in the case of multiplex networks. Yet for many systems whose representation is easily enough as networks with directed interactions, a model of structural resilience with a concisely defined procedure and also an explicit analytical framework is still lacking. Here, we study the impact of the directed interactions on the structural resilience of networks through a simple random node-removal process based on both the in-degree and the out-degree for each node. With this model which is basically an extension of k-core percolation into the networks with directional interactions, we study the relative sizes of the residual subgraph after node removal as an indicator of the structural integrity. With an explicit analytical framework and the extensive numerical simulation, we can precisely predict the relative size of clusters after node removal on directed random graphs without degree correlations. We show that in directed random networks even with such a simple model, discontinuous transitions rise naturally, and also the introduction of unidirectional interactions into the networks drives the networks more vulnerable against degree-based damages compared with their undirected counterparts." @default.
- W3035847078 created "2020-06-25" @default.
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- W3035847078 date "2017-01-10" @default.
- W3035847078 modified "2023-09-27" @default.
- W3035847078 title "Structural resilience of directed networks" @default.
- W3035847078 hasPublicationYear "2017" @default.
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