Enhancing synchronizability of weighted dynamical networks using betweenness centrality
Physics and Society
2008-12-31 v1
Abstract
By considering the eigenratio of the Laplacian of the connection graph as synchronizability measure, we propose a procedure for weighting dynamical networks to enhance theirsynchronizability. The method is based on node and edge betweenness centrality measures and is tested on artificially const ructed 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.
Cite
@article{arxiv.0812.4720,
title = {Enhancing synchronizability of weighted dynamical networks using betweenness centrality},
author = {Mahdi Jalili and Ali Ajdari Rad and Martin Hasler},
journal= {arXiv preprint arXiv:0812.4720},
year = {2008}
}