Autor según el artículo: Arenas A, Borge-Holthoefer J, Gómez S, Zamora-López 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: alexandre.arenas@urv.cat sergio.gomez@urv.cat

Identificador del autor: 0000-0003-0937-0334 0000-0003-1820-0062

Fecha de alta del registro: 2023-02-18

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: http://repositori.urv.cat/ca/proteccio-de-dades/

Referencia al articulo segun fuente origial: New Journal Of Physics. 12 (053009):

Referencia de l'ítem segons les normes APA: Arenas A, Borge-Holthoefer J, Gómez S, Zamora-López G (2010). Optimal map of the modular structure of complex networks. New Journal Of Physics, 12(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