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arXiv · 1010.4506

Inter-similarity between coupled networks

Roni Parshani·Celine Rozenblat·Daniele Ietri·Cesar Ducruet·Shlomo Havlin
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Abstract

Recent studies have shown that a system composed from several randomly interdependent networks is extremely vulnerable to random failure. However, real interdependent networks are usually not randomly interdependent, rather a pair of dependent nodes are coupled according to some regularity which we coin inter-similarity. For example, we study a system composed from an interdependent world wide port network and a world wide airport network and show that well connected ports tend to couple with well connected airports. We introduce two quantities for measuring the level of inter-similarity between networks (i) Inter degree-degree correlation (IDDC) (ii) Inter-clustering coefficient (ICC). We then show both by simulation models and by analyzing the port-airport system that as the networks become more inter-similar the system becomes significantly more robust to random failure.

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Roni Parshani, Celine Rozenblat, Daniele Ietri, Cesar Ducruet, Shlomo Havlin. 2010-10-21. Inter-similarity between coupled networks. https://doi.org/10.1209/0295-5075%2F92%2F68002

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