Topological measure locating the effective crossover between segregation and integration in a modular network

Ajdari Rad, Ali and Sendiña Nadal, Irene and Papo, David and Zanin, Massimiliano and Buldu, Javier M. and Pozo Guerrero, Francisco del and Boccaletti, Stefano (2012). Topological measure locating the effective crossover between segregation and integration in a modular network. "Physical Review Letters", v. 108 (n. 22); pp.. ISSN 0031-9007. https://doi.org/10.1103/PhysRevLett.108.228701.

Description

Title: Topological measure locating the effective crossover between segregation and integration in a modular network
Author/s:
  • Ajdari Rad, Ali
  • Sendiña Nadal, Irene
  • Papo, David
  • Zanin, Massimiliano
  • Buldu, Javier M.
  • Pozo Guerrero, Francisco del
  • Boccaletti, Stefano
Item Type: Article
Título de Revista/Publicación: Physical Review Letters
Date: June 2012
ISSN: 0031-9007
Volume: 108
Subjects:
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Tecnología Fotónica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We introduce an easily computable topological measure which locates the effective crossover between segregation and integration in a modular network. Segregation corresponds to the degree of network modularity, while integration is expressed in terms of the algebraic connectivity of an associated hypergraph. The rigorous treatment of the simplified case of cliques of equal size that are gradually rewired until they become completely merged, allows us to show that this topological crossover can be made to coincide with a dynamical crossover from cluster to global synchronization of a system of coupled phase oscillators. The dynamical crossover is signaled by a peak in the product of the measures of intracluster and global synchronization, which we propose as a dynamical measure of complexity. This quantity is much easier to compute than the entropy (of the average frequencies of the oscillators), and displays a behavior which closely mimics that of the dynamical complexity index based on the latter. The proposed topological measure simultaneously provides information on the dynamical behavior, sheds light on the interplay between modularity and total integration, and shows how this affects the capability of the network to perform both local and distributed dynamical tasks.

More information

Item ID: 16606
DC Identifier: http://oa.upm.es/16606/
OAI Identifier: oai:oa.upm.es:16606
DOI: 10.1103/PhysRevLett.108.228701
Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.108.228701
Deposited by: Memoria Investigacion
Deposited on: 21 Jul 2013 08:48
Last Modified: 21 Apr 2016 16:55
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