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EnglishThe uniqueness of the Perron vector of a nonnegative block matrix associated to a multiplex network is discussed. The conclusions come from the relationships between the irreducibility of some nonnegative block matrix associated to a multiplex network and the irreducibility of the corresponding matrices to each layer as well as the irreducibility of the adjacency matrix of the projection network. In addition the computation of that Perron vector in terms of the Perron vectors of the blocks is also addressed. Finally we present the precise relations that allow to express the Perron eigenvector of the multiplex network in terms of the Perron eigenvectors of its layers.
A Perron–Frobenius theory for block matrices associated to a multiplex network / Romance, Miguel; Sola Conde, Eduardo Luis; Flores, Julio; García, Esther; García del Amo, Alejandro; Criado, Regino. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - ELETTRONICO. - 72(2015), pp. 77-89.
| Titolo: | A Perron–Frobenius theory for block matrices associated to a multiplex network | |
| Autori: | Romance, Miguel; Sola Conde, Eduardo Luis; Flores, Julio; García, Esther; García del Amo, Alejandro; Criado, Regino | |
| Autori Unitn: | ||
| Titolo del periodico: | CHAOS, SOLITONS AND FRACTALS | |
| Anno di pubblicazione: | 2015 | |
| Codice identificativo Scopus: | 2-s2.0-84923379961 | |
| Codice identificativo WOS: | WOS:000352926300008 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.chaos.2014.12.020 | |
| Handle: | http://hdl.handle.net/11572/111291 | |
| Citazione: | A Perron–Frobenius theory for block matrices associated to a multiplex network / Romance, Miguel; Sola Conde, Eduardo Luis; Flores, Julio; García, Esther; García del Amo, Alejandro; Criado, Regino. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - ELETTRONICO. - 72(2015), pp. 77-89. | |
| Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Perron_Multiplex-011.pdf | Articolo | Post-print referato (Refereed author’s manuscript) | Tutti i diritti riservati (All rights reserved) | Open Access Visualizza/Apri |
| 1-s2.0-S0960077914002409-main.pdf | Versione editoriale (Publisher’s layout) | Tutti i diritti riservati (All rights reserved) | Administrator |
http://hdl.handle.net/11572/111291
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