Robust Control Centrality

This study presents the idea of robust control centrality as a quantifying measure for the power of a node to control a complex network, when these nodes and the edges are damage prone. With this technique a complex network can be controlled efficiently. To quantify robust control centrality under different criterion, two definitions have been proposed. One is termed as ”Expected Robust Control Centrality” (ERCC) and the other as ”Generic Robust Control Centrality” (GRCC). Optimal methods for the determination of these measures are also presented. The performance of GRCC is compared with other centrality measures to show that the robust control centrality is highly dependent on out-closeness centrality and control centrality. Effectiveness of robust control centrality is demonstrated by observing the controllability power of high GRCC nodes under several attack strategies in real networks.