This brief introduces a quantitative measure of the robustness of network controllability, and presents an empirical comparison on 6 network models, i.e., random-graph network, scale-free network, multiplex concurrence network, q-snapback network, random triangle network, and random rectangle network, against 6 different attacks, i.e., betweenness-based and degree-based, random and targeted, node-removal, and edge-removal attacks, showing the overall good performances of the multi-ring structure in networks.
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Chen et al. (2019) studied this question.
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