Robustness of Network Controllability with Respect to Node Removals Based on In-Degree and Out-Degree
Fenghua Wang (TU Delft - Network Architectures and Services)
Rob Kooij (TNO, TU Delft - Network Architectures and Services)
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Abstract
Network controllability and its robustness have been widely studied. However, analytical methods to calculate network controllability with respect to node in- and out-degree targeted removals are currently lacking. This paper develops methods, based on generating functions for the in- and out-degree distributions, to approximate the minimum number of driver nodes needed to control directed networks, during node in- and out-degree targeted removals. By validating the proposed methods on synthetic and real-world networks, we show that our methods work reasonably well. Moreover, when the fraction of the removed nodes is below 10% the analytical results of random removals can also be used to predict the results of targeted node removals.
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