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arXiv · 1310.5720

Cascading Failures in Networks with Proximate Dependent Nodes

Yosef Kornbluth·Steven Lowinger·Gabriel Cwilich·Sergey V. Buldyrev
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Abstract

We study the mutual percolation of a system composed of two interdependent random regular networks. We introduce a notion of distance to explore the effects of the proximity of interdependent nodes on the cascade of failures after an initial attack. We find a non-trivial relation between the nature of the transition through which the networks disintegrate and the parameters of the system, which are the degree of the nodes and the maximum distance between interdependent nodes. We explain this relation by solving the problem analytically for the relevant set of cases.

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Yosef Kornbluth, Steven Lowinger, Gabriel Cwilich, Sergey V. Buldyrev. 2013-10-21. Cascading Failures in Networks with Proximate Dependent Nodes. https://doi.org/10.1103/physreve.89.032808

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