Abstract
Complex networks appear in almost every aspect of science and technology. Although most results in the field have been obtained by analysing isolated networks, many real-world networks do in fact interact with and depend on other networks. The set of extensive results for the limiting case of non-interacting networks holds only to the extent that ignoring the presence of other networks can be justified. Recently, an analytical framework for studying the percolation properties of interacting networks has been developed. Here we review this framework and the results obtained so far for connectivity properties of ‘networks of networks’ formed by interdependent random networks.
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Acknowledgements
We thank R. Parshani for helpful discussions. We thank the DTRA (Defense Threat Reduction Agency) and the Office of Naval Research for support. J.G. also thanks the Shanghai Key Basic Research Project (grant no 09JC1408000) and the National Natural Science Foundation of China (grant no 61004088) for support. S.V.B. acknowledges the partial support of this research through the B. W. Gamson Computational Science Center at Yeshiva College. S.H. thanks the European EPIWORK project, Deutsche Forschungsgemeinschaft (DFG) and the Israel Science Foundation for financial support.
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Gao, J., Buldyrev, S., Stanley, H. et al. Networks formed from interdependent networks. Nature Phys 8, 40–48 (2012). https://doi.org/10.1038/nphys2180
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DOI: https://doi.org/10.1038/nphys2180
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