Juan A Almendral and Albert Díaz-Guilera 2007 New J. Phys. 9 187 doi:10.1088/1367-2630/9/6/187
Dynamical and spectral properties of complex networks
Focus on Complex Networked Systems: Theory and ApplicationJuan A Almendral1,4 and Albert Díaz-Guilera2,3
Show affiliationsPart of Focus on Complex Networked Systems: Theory and Application
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.
- PACS
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89.75.Hc Networks and genealogical trees
- Subjects
- Dates
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Issue 6 (June 2007)
Received 31 March 2007
Published 28 June 2007
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Dynamical and spectral properties of complex networks
Juan A Almendral and Albert Díaz-Guilera 2007 New J. Phys. 9 187
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