Control Centrality and Hierarchical Structure in Complex Networks
Author(s)Liu, Yang-Yu; Slotine, Jean-Jacques; Barabasi, Albert-Laszlo
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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.
DepartmentMassachusetts Institute of Technology. Department of Brain and Cognitive Sciences; Massachusetts Institute of Technology. Department of Mechanical Engineering; Massachusetts Institute of Technology. Nonlinear Systems Laboratory
Public Library of Science
Liu, Yang-Yu, Jean-Jacques Slotine, and Albert-László Barabási. “Control Centrality and Hierarchical Structure in Complex Networks.” Ed. Yamir Moreno. PLoS ONE 7.9 (2012): e44459.
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