title: Enhancing synchronizability of weighted dynamical networks using betweenness centrality.
abstract: By considering the eigenratio of the Laplacian of the connection graph as a synchronizability measure, we propose a procedure for weighting dynamical networks to enhance their synchronizability. The method is based on node and edge betweenness centrality measures and is tested on artificially constructed scale-free, Watts-Strogatz, and random networks as well as on some real-world graphs. It is also numerically shown that the same procedure could be used to enhance the phase synchronizability of networks of nonidentical oscillators.
authors.affiliation: Laboratory of Nonlinear Systems, School of Computer and Communication Sciences, Ecole Polytechnique Fédérale de Lausanne, CH 1015, Lausanne, Switzerland. Mahdi.Jalili@epfl.ch
authors.forename: Mahdi
authors.initials: M
authors.lastname: Jalili
authors.forename: Ali Ajdari
authors.initials: AA
authors.lastname: Rad
authors.forename: Martin
authors.initials: M
authors.lastname: Hasler