Articles producció científica> Enginyeria Informàtica i Matemàtiques

Size reduction of complex networks preserving modularity

  • Datos identificativos

    Identificador: imarina:5119271
    Autores:
    Arenas, ADuch, JFernandez, AGomez, S
    Resumen:
    The ubiquity of modular structure in real-world complex networks is 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 non-deterministic polynomial time hard (NP-hard) class. Here we propose an exact method for reducing the size of weighted (directed and undirected) complex networks while maintaining their modularity. This size reduction allows use of heuristic algorithms that optimize modularity for a better exploration of the modularity landscape. We compare the modularity obtained in several real complex-networks by using the extremal optimization algorithm, before and after the size reduction, showing the improvement obtained. We speculate that the proposed analytical size reduction could be extended to an exact coarse graining of the network in the scope of real-space renormalization. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
  • Otros:

    Autor según el artículo: Arenas, A; Duch, J; Fernandez, A; Gomez, S
    Departamento: Enginyeria Informàtica i Matemàtiques
    e-ISSN: 1367-2630
    Autor/es de la URV: Arenas Moreno, Alejandro / Duch Gavaldà, Jordi / Fernández Sabater, Alberto / Gómez Jiménez, Sergio
    Resumen: The ubiquity of modular structure in real-world complex networks is 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 non-deterministic polynomial time hard (NP-hard) class. Here we propose an exact method for reducing the size of weighted (directed and undirected) complex networks while maintaining their modularity. This size reduction allows use of heuristic algorithms that optimize modularity for a better exploration of the modularity landscape. We compare the modularity obtained in several real complex-networks by using the extremal optimization algorithm, before and after the size reduction, showing the improvement obtained. We speculate that the proposed analytical size reduction could be extended to an exact coarse graining of the network in the scope of real-space renormalization. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
    Áreas temáticas: Química Psicología Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Medicina ii Materiais Matemática / probabilidade e estatística Interdisciplinar General physics and astronomy Ensino Engenharias iv Engenharias iii Engenharias i Ciências biológicas i Ciência da computação Biotecnología Astronomia / física
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: alberto.fernandez@urv.cat sergio.gomez@urv.cat jordi.duch@urv.cat alexandre.arenas@urv.cat
    Identificador del autor: 0000-0002-1241-1646 0000-0003-1820-0062 0000-0003-2639-6333 0000-0003-0937-0334
    Fecha de alta del registro: 2024-11-16
    Volumen de revista: 9
    Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
    Enlace a la fuente original: https://iopscience.iop.org/article/10.1088/1367-2630/9/6/176
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: New Journal Of Physics. 9 (6): PII S1367-2630(07)43446-2-176
    Referencia de l'ítem segons les normes APA: Arenas, A; Duch, J; Fernandez, A; Gomez, S (2007). Size reduction of complex networks preserving modularity. New Journal Of Physics, 9(6), PII S1367-2630(07)43446-2-176. DOI: 10.1088/1367-2630/9/6/176
    DOI del artículo: 10.1088/1367-2630/9/6/176
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2007
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Physics and Astronomy (Miscellaneous),Physics, Multidisciplinary
    Química
    Psicología
    Physics, multidisciplinary
    Physics and astronomy (miscellaneous)
    Physics and astronomy (all)
    Medicina ii
    Materiais
    Matemática / probabilidade e estatística
    Interdisciplinar
    General physics and astronomy
    Ensino
    Engenharias iv
    Engenharias iii
    Engenharias i
    Ciências biológicas i
    Ciência da computação
    Biotecnología
    Astronomia / física
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