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arXiv · 0812.4720

Enhancing synchronizability of weighted dynamical networks using betweenness centrality

Mahdi Jalili·Ali Ajdari Rad·Martin Hasler
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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.

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Mahdi Jalili, Ali Ajdari Rad, Martin Hasler. 2008-12-27. Enhancing synchronizability of weighted dynamical networks using betweenness centrality. https://doi.org/10.1103/physreve.78.016105

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