Synchronization and modularity in complex networks |
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Authors: | A Arenas A Díaz-Guilera |
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Institution: | (1) Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain;(2) Departament de Física Fonamental, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain |
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Abstract: | We investigate the connection between the dynamics of
synchronization and the modularity on complex networks. Simulating
the Kuramoto's model in complex networks we determine patterns of
meta-stability and calculate the modularity of the partition these
patterns provide. The results indicate that the more stable the
patterns are, the larger tends to be the modularity of the partition
defined by them. This correlation works pretty well in homogeneous
networks (all nodes have similar connectivity) but fails when
networks contain hubs, mainly because the modularity is never
improved where isolated nodes appear, whereas in the synchronization
process the characteristic of hubs is to have a large stability when
forming its own community. |
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Keywords: | |
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