The following article is Open access

Dynamical and spectral properties of complex networks

and

Published 28 June 2007 Published under licence by IOP Publishing Ltd
, , Focus on Complex Networked Systems: Theory and Application Citation Juan A Almendral and Albert Díaz-Guilera 2007 New J. Phys. 9 187 DOI 10.1088/1367-2630/9/6/187

1367-2630/9/6/187

Abstract

Dynamical properties of complex networks are related to the spectral properties of the Laplacian matrix that describes the pattern of connectivity of the network. In particular we compute the synchronization time for different typesof networks and different dynamics. We show that the main dependence of the synchronization time is on the smallest nonzero eigenvalue of the Laplacian matrix, in contrast to other proposals in terms of the spectrum of the adjacency matrix. Then, this topological property becomes the most relevant for the dynamics.

Export citation and abstract BibTeX RIS

Please wait… references are loading.
10.1088/1367-2630/9/6/187