Control centrality and hierarchical structure in complex networks

Details Control centrality and hierarchical structure in complex networks Control centrality and hierarchical structure in complex networks

2012-03-12

arxiv.org/abs/1203.2655v1

Physics

Physics and Society

14 pages, 3 figures

Scientific paper

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 rigorously prove 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.

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