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In this work we consider the optimal design of interconnection links for an interdependent system of networks. In contrast to existing literature, we explicitly exploit the information of intra-layer node degrees to design more robust interdependency structure against cascading failures triggered by random attacks. Built on solid mathematical models, we characterize the optimal design for the one-to-one structure, with complete interdependence and partial interdependence. We also extend the study to the one-to-many structure and targeted attack model. Simulation results are provided to corroborate the theoretical results.Index Terms-Interdependent networks, optimal inter-links, targeted attack, network robustness.

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