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Synchronization and modularity in complex networks
Alex Arenas, Albert Diaz-Guilera
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 patte…
Synchronization processes in complex networks
Alex Arenas, Albert Diaz-Guilera, Conrad J. Perez-Vicente
We present an extended analysis, based on the dynamics towards synchronization of a system of coupled oscillators, of the hierarchy of communities in complex networks. In the synch…
Paths to Synchronization on Complex Networks
Jesus Gomez-Gardenes, Yamir Moreno, Alex Arenas
The understanding of emergent collective phenomena in natural and social systems has driven the interest of scientists from different disciplines during decades. Among these phenom…
On the universality of the scaling of fluctuations in traffic on complex networks
Jordi Duch, Alex Arenas
We study the scaling of fluctuations with the mean of traffic in complex networks using a model where the arrival and departure of "packets" follow exponential distributions, and t…
Effect of size heterogeneity on community identification in complex networks
Leon Danon, Albert Diaz-Guilera, Alex Arenas
Identifying community structure can be a potent tool in the analysis and understanding of the structure of complex networks. Up to now, methods for evaluating the performance of id…