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Vector centrality in hypergraphsKovalenko, K. ...Identifying the most influential nodes in networked systems is of vital importance to optimize their function and control. Several scalar metrics have been proposed to that effect, but the recent ... shift in focus towards network structures which go beyond a simple collection of dyadic interactions has rendered them void of performance guarantees. We here introduce a new measure of node's centrality, which is no longer a scalar value, but a vector with dimension one lower than the highest order of interaction in a hypergraph. Such a vectorial measure is linked to the eigenvector centrality for networks containing only dyadic interactions, but it has a significant added value in all other situations where interactions occur at higher-orders. In particular, it is able to unveil different roles which may be played by the same node at different orders of interactions – information that is otherwise impossible to retrieve by single scalar measures. We demonstrate the efficacy of our measure with applications to synthetic networks and to three real world hypergraphs, and compare our results with those obtained by applying other scalar measures of centrality proposed in the literature.Source: Chaos, solitons and fractals (Vol. 162, Sep. 2022, str. 1-8)Type of material - article, component part ; adult, seriousPublish date - 2022Language - englishCOBISS.SI-ID - 118022915
Author
Kovalenko, K. |
Romance, M. |
Vasilyeva, E. |
Aleja, D. |
Criado, R. |
Musatov, D. |
Raigorodskii, A. M. |
Flores, J. |
Samoylenko, I. |
Alfaro-Bittner, Karin |
Perc, Matjaž |
Boccaletti, Stefano
Topics
kompleksno omrežje |
centralnost |
fizika družbe |
complex network |
centrality |
social physics
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Author | Kovalenko, K. ... |
Title | Vector centrality in hypergraphs |
Publication date | |
COBISS.SI-ID | 118022915 |
Publication version in repository | Unidentified |
Publication licence | Unidentified |
Embargo | Unidentified |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
---|---|---|---|
Računsko intenzivni kompleksni sistemi | P1-0403-2019 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Fazni prehodi proti koordinaciji v večplastnih omrežjih | J1-2457-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Kovalenko, K. | ![]() |
Romance, M. | ![]() |
Vasilyeva, E. | ![]() |
Aleja, D. | ![]() |
Criado, R. | ![]() |
Musatov, D. | ![]() |
Raigorodskii, A. M. | ![]() |
Flores, J. | ![]() |
Samoylenko, I. | ![]() |
Alfaro-Bittner, Karin | ![]() |
Perc, Matjaž | 23428 |
Boccaletti, Stefano | ![]() |
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