Title
Effect Of Correlations On Network Controllability
Abstract
A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network characteristics on the minimal number of driver nodes required to control a network. We find that clustering and modularity have no discernible impact, but the symmetries of the underlying matching problem can produce linear, quadratic or no dependence on degree correlation coefficients, depending on the nature of the underlying correlations. The results are supported by numerical simulations and help narrow the observed gap between the predicted and the observed number of driver nodes in real networks.
Year
DOI
Venue
2012
10.1038/srep01067
SCIENTIFIC REPORTS
Keywords
Field
DocType
biomedical research,bioinformatics
Data mining,Topology,Computer science,Quadratic equation,Network controllability,Correlation,Cluster analysis,Homogeneous space,Modularity,Dynamical system,Finite time
Journal
Volume
ISSN
Citations 
3
2045-2322
29
PageRank 
References 
Authors
1.71
5
4
Name
Order
Citations
PageRank
Márton Pósfai1785.53
Yang-Yu Liu21199.57
Jean-jacques E. Slotine32878344.39
Albert-lászló Barabási446491107.35