Betweenness centrality for temporal multiplexes

Abstract Betweenness centrality quantifies the importance of a vertex for the information flow in a network. The standard betweenness centrality applies to static single-layer networks, but many real world networks are both dynamic and made of several layers. We propose a definition of betweenness c...

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Autores principales: Silvia Zaoli, Piero Mazzarisi, Fabrizio Lillo
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/810a351d61c640f09bc972b76771c23f
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spelling oai:doaj.org-article:810a351d61c640f09bc972b76771c23f2021-12-02T13:20:02ZBetweenness centrality for temporal multiplexes10.1038/s41598-021-84418-z2045-2322https://doaj.org/article/810a351d61c640f09bc972b76771c23f2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84418-zhttps://doaj.org/toc/2045-2322Abstract Betweenness centrality quantifies the importance of a vertex for the information flow in a network. The standard betweenness centrality applies to static single-layer networks, but many real world networks are both dynamic and made of several layers. We propose a definition of betweenness centrality for temporal multiplexes. This definition accounts for the topological and temporal structure and for the duration of paths in the determination of the shortest paths. We propose an algorithm to compute the new metric using a mapping to a static graph. We apply the metric to a dataset of $$\sim 20$$ ∼ 20 k European flights and compare the results with those obtained with static or single-layer metrics. The differences in the airports rankings highlight the importance of considering the temporal multiplex structure and an appropriate distance metric.Silvia ZaoliPiero MazzarisiFabrizio LilloNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Silvia Zaoli
Piero Mazzarisi
Fabrizio Lillo
Betweenness centrality for temporal multiplexes
description Abstract Betweenness centrality quantifies the importance of a vertex for the information flow in a network. The standard betweenness centrality applies to static single-layer networks, but many real world networks are both dynamic and made of several layers. We propose a definition of betweenness centrality for temporal multiplexes. This definition accounts for the topological and temporal structure and for the duration of paths in the determination of the shortest paths. We propose an algorithm to compute the new metric using a mapping to a static graph. We apply the metric to a dataset of $$\sim 20$$ ∼ 20 k European flights and compare the results with those obtained with static or single-layer metrics. The differences in the airports rankings highlight the importance of considering the temporal multiplex structure and an appropriate distance metric.
format article
author Silvia Zaoli
Piero Mazzarisi
Fabrizio Lillo
author_facet Silvia Zaoli
Piero Mazzarisi
Fabrizio Lillo
author_sort Silvia Zaoli
title Betweenness centrality for temporal multiplexes
title_short Betweenness centrality for temporal multiplexes
title_full Betweenness centrality for temporal multiplexes
title_fullStr Betweenness centrality for temporal multiplexes
title_full_unstemmed Betweenness centrality for temporal multiplexes
title_sort betweenness centrality for temporal multiplexes
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/810a351d61c640f09bc972b76771c23f
work_keys_str_mv AT silviazaoli betweennesscentralityfortemporalmultiplexes
AT pieromazzarisi betweennesscentralityfortemporalmultiplexes
AT fabriziolillo betweennesscentralityfortemporalmultiplexes
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