Articles producció científica> Enginyeria Informàtica i Matemàtiques

Optimal map of the modular structure of complex networks

  • Datos identificativos

    Identificador: imarina:5122795
    Autores:
    Arenas, ABorge-Holthoefer, JGomez, SZamora-Lopez, G
    Resumen:
    The modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and the function of complex systems. Generally speaking, modules are islands of highly connected nodes separated by a relatively small number of links. Every module can have the contributions of links from any node in the network. The challenge is to disentangle these contributions to understand how the modular structure is built. The main problem is that the analysis of a certain partition into modules involves, in principle, as much data as the number of modules times the number of nodes. To confront this challenge, here we first define the contribution matrix, the mathematical object containing all the information about the partition of interest, and then we use truncated singular value decomposition to extract the best representation of this matrix in a plane. The analysis of this projection allows us to scrutinize the skeleton of the modular structure, revealing the structure of individual modules and their interrelations.
  • Otros:

    Autor según el artículo: Arenas, A; Borge-Holthoefer, J; Gomez, S; Zamora-Lopez, G
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Arenas Moreno, Alejandro / BORGE HOLTHOEFER, JAVIER / Gómez Jiménez, Sergio
    Palabras clave: Value decomposition Synchronization Community structure
    Resumen: The modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and the function of complex systems. Generally speaking, modules are islands of highly connected nodes separated by a relatively small number of links. Every module can have the contributions of links from any node in the network. The challenge is to disentangle these contributions to understand how the modular structure is built. The main problem is that the analysis of a certain partition into modules involves, in principle, as much data as the number of modules times the number of nodes. To confront this challenge, here we first define the contribution matrix, the mathematical object containing all the information about the partition of interest, and then we use truncated singular value decomposition to extract the best representation of this matrix in a plane. The analysis of this projection allows us to scrutinize the skeleton of the modular structure, revealing the structure of individual modules and their interrelations.
    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/
    ISSN: 1367-2630
    Direcció de correo del autor: sergio.gomez@urv.cat alexandre.arenas@urv.cat
    Identificador del autor: 0000-0003-1820-0062 0000-0003-0937-0334
    Fecha de alta del registro: 2024-09-28
    Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
    Enlace a la fuente original: https://iopscience.iop.org/article/10.1088/1367-2630/12/5/053009
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: New Journal Of Physics. 12 (053009): 053009-
    Referencia de l'ítem segons les normes APA: Arenas, A; Borge-Holthoefer, J; Gomez, S; Zamora-Lopez, G (2010). Optimal map of the modular structure of complex networks. New Journal Of Physics, 12(053009), 053009-. DOI: 10.1088/1367-2630/12/5/053009
    DOI del artículo: 10.1088/1367-2630/12/5/053009
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2010
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Physics and Astronomy (Miscellaneous),Physics, Multidisciplinary
    Value decomposition
    Synchronization
    Community structure
    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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