Author, as appears in the article.: Arenas A; Duch J; Fernández A; Gómez S

Department: Enginyeria Informàtica i Matemàtiques

e-ISSN: 1367-2630

URV's Author/s: Arenas Moreno, Alejandro / Duch Gavaldà, Jordi / Fernández Sabater, Alberto / Gómez Jiménez, Sergio

Abstract: 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.

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/

Author's mail: alexandre.arenas@urv.cat jordi.duch@urv.cat sergio.gomez@urv.cat alberto.fernandez@urv.cat

Author identifier: 0000-0003-0937-0334 0000-0003-2639-6333 0000-0003-1820-0062 0000-0002-1241-1646

Record's date: 2023-02-18

Journal volume: 9

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

Link to the original source: https://iopscience.iop.org/article/10.1088/1367-2630/9/6/176

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

Papper original source: New Journal Of Physics. 9

APA: Arenas A; Duch J; Fernández A; Gómez S (2007). Size reduction of complex networks preserving modularity. New Journal Of Physics, 9(), -. DOI: 10.1088/1367-2630/9/6/176

Article's DOI: 10.1088/1367-2630/9/6/176

Entity: Universitat Rovira i Virgili

Journal publication year: 2007

Publication Type: Journal Publications