Author, as appears in the article.: Arenas A, Borge-Holthoefer J, Gómez S, Zamora-López G

Department: Enginyeria Informàtica i Matemàtiques

URV's Author/s: Arenas Moreno, Alejandro / BORGE HOLTHOEFER, JAVIER / Gómez Jiménez, Sergio

Keywords: Value decomposition Synchronization Community structure

Abstract: 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.

Thematic Areas: 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

licence for use: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 1367-2630

Author's mail: alexandre.arenas@urv.cat sergio.gomez@urv.cat

Author identifier: 0000-0003-0937-0334 0000-0003-1820-0062

Record's date: 2023-02-18

Papper version: info:eu-repo/semantics/publishedVersion

Link to the original source: https://iopscience.iop.org/article/10.1088/1367-2630/12/5/053009

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

Papper original source: New Journal Of Physics. 12 (053009):

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

Article's DOI: 10.1088/1367-2630/12/5/053009

Entity: Universitat Rovira i Virgili

Journal publication year: 2010

Publication Type: Journal Publications