Percolation in real interdependent networks

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Percolation in real interdependent networks

The function of a real network depends not only on the reliability of its own components, but is a ected also by the simultaneous operation of other real networks coupled with it. Whereas theoretical methods of direct applicability to real isolated networks exist, the frameworks developed so far in percolation theory for interdependent network layers are of little help in practical contexts, as...

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Supplementary Information “Percolation in real interdependent networks”

The purpose of this section is twofold: (i) to illustrate in a simpler setting the heuristic approach we used in the main text to study site percolation in interdependent networks; (ii) to provide a connection between the exact results by Bollobás et al. for dense graphs [1], and the heuristic approaches for sparse graphs by Karrer et al. [2], and Hamilton and Pryadko [3]. Consider an undirecte...

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Group percolation in interdependent networks

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Percolation of interdependent networks with intersimilarity.

Real data show that interdependent networks usually involve intersimilarity. Intersimilarity means that a pair of interdependent nodes have neighbors in both networks that are also interdependent [Parshani et al. Europhys. Lett. 92, 68002 (2010)]. For example, the coupled worldwide port network and the global airport network are intersimilar since many pairs of linked nodes (neighboring cities)...

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Complex networks appear in almost every aspect of science and technology. Previous work in network theory has focused primarily on analyzing single networks that do not interact with other networks, despite the fact that many real-world networks interact with and depend on each other. Very recently an analytical framework for studying the percolation properties of interacting networks has been ...

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ژورنال

عنوان ژورنال: Nature Physics

سال: 2015

ISSN: 1745-2473,1745-2481

DOI: 10.1038/nphys3374