Author, as appears in the article.: Gomez, Sergio; Fernandez, Alberto; Granell, Clara; Arenas, Alex
Department: Enginyeria Informàtica i Matemàtiques Enginyeria Química
e-ISSN: 1099-4300
URV's Author/s: Arenas Moreno, Alejandro / Fernández Sabater, Alberto / Gómez Jiménez, Sergio
Keywords: Uniqueness Patterns in networks Hierarchical clustering Dendrogram
Abstract: Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural properties. The finding of structural patterns is of utmost importance to reduce the problem of understanding the structure¿function relationships. Here we propose the analysis of similarity measures between nodes using hierarchical clustering methods. The discrete nature of the networks usually leads to a small set of different similarity values, making standard hierarchical clustering algorithms ambiguous. We propose the use of multidendrograms, an algorithm that computes agglomerative hierarchical clusterings implementing a variable-group technique that solves the non-uniqueness problem found in the standard pair-group algorithm. This problem arises when there are more than two clusters separated by the same maximum similarity (or minimum distance) during the agglomerative process. Forcing binary trees in this case means breaking ties in some way, thus giving rise to different output clusterings depending on the criterion used. Multidendrograms solves this problem by grouping more than two clusters at the same time when ties occur.
Thematic Areas: Saúde coletiva Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Medicina ii Medicina i Mathematical physics Matemática / probabilidade e estatística Interdisciplinar Information systems Geociências General physics and astronomy Filosofía Engenharias iv Engenharias iii Electrical and electronic engineering Educação física Ciências biológicas i Ciência da computação Astronomia / física
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 10994300
Author's mail: alberto.fernandez@urv.cat sergio.gomez@urv.cat alexandre.arenas@urv.cat
Author identifier: 0000-0002-1241-1646 0000-0003-1820-0062 0000-0003-0937-0334
Last page: 5474
Record's date: 2024-09-28
Journal volume: 15
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://www.mdpi.com/1099-4300/15/12/5464
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Entropy. 15 (12): 5464-5474
APA: Gomez, Sergio; Fernandez, Alberto; Granell, Clara; Arenas, Alex (2013). Structural Patterns in Complex Systems Using Multidendrograms. Entropy, 15(12), 5464-5474. DOI: 10.3390/e15125464
Article's DOI: 10.3390/e15125464
Entity: Universitat Rovira i Virgili
Journal publication year: 2013
First page: 5464
Publication Type: Journal Publications