title: Synchronization reveals topological scales in complex networks.
abstract: We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular structures corresponding to well-defined communities of nodes emerge in different time scales, ordered in a hierarchical way. The analysis also provides a useful connection between synchronization dynamics, complex networks topology, and spectral graph analysis.
authors.affiliation: Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
authors.forename: Alex
authors.initials: A
authors.lastname: Arenas
authors.forename: Albert
authors.initials: A
authors.lastname: Díaz-Guilera
authors.forename: Conrad J
authors.initials: CJ
authors.lastname: Pérez-Vicente