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in creator/contributor: "Arenas, A."

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Phase patterns of coupled oscillators with application to wireless communication

Here we study the plausibility of a phase oscillators dynamical model for TDMA in wireless communication networks. We show that emerging patterns of phase locking states between oscillators can eventually oscillate in a round-robin schedule, in a similar way to models of pulse coupled oscillators designed to this end. The results open the door for new communication protocols in a continuous interacting networks of wireless communication devices.

Date: January 2, 2008

Creator: Arenas, A.

Item Type: Article

Partner: UNT Libraries Government Documents Department

open access

Mesoscopic structure conditions the emergence of cooperation on social networks

We study the evolutionary Prisoner's Dilemma on two social networks substrates obtained from actual relational data. We find very different cooperation levels on each of them that cannot be easily understood in terms of global statistical properties of both networks. We claim that the result can be understood at the mesoscopic scale, by studying the community structure of the networks. We explain the dependence of the cooperation level on the temptation parameter in terms of the internal struct… more

Date: December 1, 2008

Creator: Lozano, S.; Arenas, A. & Sanchez, A.

Item Type: Article

Partner: UNT Libraries Government Documents Department

open access

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. The standard approach is based on the optimization of a quality function, modularity, which is a relative quality measure for a partition of a network into modules. Recently some authors have pointed out that the optimization of modularity has a fundamental drawback: the existence of a resolution limit beyond which no modular struc… more

Date: February 28, 2008

Creator: Arenas, A.; Fernandez, A. & Gomez, S.

Item Type: Article

Partner: UNT Libraries Government Documents Department

open access

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. The new modularity preserves the probabilistic semantics of the original definition even when the network is directed, weighted, signed, and has self-loops. This is the most general condition one can find in the study of any network, in particular those defined from correlated data. We apply our results to a real network of correlated data between stores in the city of Ly… more

Date: December 25, 2008

Creator: Gomez, S.; Jensen, P. & Arenas, A.

Item Type: Article

Partner: UNT Libraries Government Documents Department

open access

Effect of size heterogeneity on community identification in complex networks

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 identification algorithms use ad-hoc networks with communities of equal size. We show that inhomogeneities in community sizes can and do affect the performance of algorithms considerably, and propose an alternative method which takes these factors into account. Furthermore, we propose a simple modification of the algori… more

Date: January 1, 2008

Creator: Danon, L.; Diaz-Guilera, A. & Arenas, A.

Item Type: Article

Partner: UNT Libraries Government Documents Department

open access

Size reduction of complex networks preserving modularity

The ubiquity of modular structure in real-world complex networks is being the focus of attention in many trials to understand the interplay between network topology and functionality. The best approaches to the identification of modular structure are based on the optimization of a quality function known as modularity. However this optimization is a hard task provided that the computational complexity of the problem is in the NP-hard class. Here we propose an exact method for reducing the size o… more

Date: December 24, 2008

Creator: Arenas, A.; Duch, J.; Fernandez, A. & Gomez, S.

Item Type: Article

Partner: UNT Libraries Government Documents Department

open access

Synchronization in complex networks

Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization phenomena in natural systems take now advantage of the recent theory of complex networks. In this review, we report the advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology. W… more

Date: December 12, 2007

Creator: Arenas, A.; Diaz-Guilera, A.; Moreno, Y.; Zhou, C. & Kurths, J.

Item Type: Article

Partner: UNT Libraries Government Documents Department

open access

Optimal information transmission in organizations: search and congestion

We propose a stylized model of a problem-solving organization whose internal communication structure is given by a fixed network. Problems arrive randomly anywhere in this network and must find their way to their respective specialized solvers by relying on local information alone. The organization handles multiple problems simultaneously. For this reason, the process may be subject to congestion. We provide a characterization of the threshold of collapse of the network and of the stock of floa… more

Date: January 1, 2008

Creator: Arenas, A.; Cabrales, A.; Danon, L.; Diaz-Guilera, A.; Guimera, R. & Vega-Redondo, F.

Item Type: Article

Partner: UNT Libraries Government Documents Department