We introduce the concept of control centrality to quantify the ability of a single node to control a directed weighted network. We calculate the distribution of control centrality for several real networks and find that it is mainly determined by the network’s degree distribution. We show that in a directed network without loops the control centrality of a node is uniquely determined by its layer index or topological position in the underlying hierarchical structure of the network. Inspired by the deep relation between control centrality and hierarchical structure in a general directed network, we design an efficient attack strategy against the controllability of malicious networks.
Control Centrality and Hierarchical Structure in Complex Networks
Yang-Yu Liu,J. Slotine,A. Barabási
Published 2012 in PLoS ONE
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- Publication year
2012
- Venue
PLoS ONE
- Publication date
2012-02-27
- Fields of study
Mathematics, Physics, Computer Science, Medicine
- Identifiers
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- Source metadata
Semantic Scholar, PubMed
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