• Publications
  • Influence
Comparing community structure identification
We compare recent approaches to community structure identification in terms of sensitivity and computational cost, and that both aspects need to be considered when choosing a method for practical purposes. Expand
  • 2,165
  • 246
  • PDF
Synchronization in complex networks
Synchronization in complex networks Alex Arenas, 1, 2, 3 Albert D´ iaz-Guilera, 4, 2 Jurgen Kurths, 5 Yamir Moreno, 2, 6 and Changsong Zhou 7 Departament d’Enginyeria Inform` tica i Matem` tiques,Expand
  • 2,300
  • 60
  • PDF
Community detection in complex networks using extremal optimization.
  • J. Duch, A. Arenas
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and…
  • 16 January 2005
We propose a method to find the community structure in complex networks based on an extremal optimization of the value of modularity. The method outperforms the optimal modularity found by theExpand
  • 1,323
  • 47
  • PDF
Synchronization reveals topological scales in complex networks.
We study the relationship between topological scales and dynamic time scales in complex networks, based on the full dynamics towards synchronization of a system of coupled oscillators. Expand
  • 676
  • 22
  • PDF
Analysis of the structure of complex networks at different resolution levels
Modular structure is ubiquitous in real-world complex networks and its detection is important because it gives insights in the structure-functionality relationship. Expand
  • 468
  • 22
  • PDF
Mathematical Formulation of Multilayer Networks
A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity,Expand
  • 658
  • 20
  • PDF
The effect of size heterogeneity on community identification in complex networks
We propose a more realistic benchmark test for community detection algorithms in complex networks which takes into account the heterogeneity of community size observed in real networks, and show that it outperforms the original algorithm while retaining its speed. Expand
  • 197
  • 16
  • PDF
Discrete-time Markov chain approach to contact-based disease spreading in complex networks
Many epidemic processes in networks spread by stochastic contacts among their connected vertices. There are two limiting cases widely analyzed in the physics literature, the so-called contact processExpand
  • 292
  • 15
  • PDF
Analysis of community structure in networks of correlated data.
We present a reformulation of modularity that allows the analysis of the community structure in networks of correlated data, in general with links directed, weighted, signed and with self-loops. Expand
  • 190
  • 11
  • PDF
Abrupt transition in the structural formation of interconnected networks
Real-world networks are rarely isolated. A model of an interdependent network of networks shows that an abrupt phase transition occurs when interconnections between independent networks are added.Expand
  • 237
  • 8
  • PDF