Complex systems that consist of diverse kinds of entities that interact in different ways can be modeled by multilayer networks. This paper uses the tensor formalism with the Einstein product to model this type of networks. Several centrality measures, that are well known for single-layer networks, are extended to multilayer networks using tensors and their properties are investigated. In particular, subgraph centrality based on the exponential and resolvent of a tensor are considered. Krylov subspace methods based on the tensor format are introduced for computing approximations of different measures for large multilayer networks.

A tensor formalism for multilayer network centrality measures using the Einstein product / El-Halouy, S.; Noschese, S.; Reichel, L.. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - (2023). [10.1016/j.apnum.2023.06.013]

A tensor formalism for multilayer network centrality measures using the Einstein product

Noschese S.
;
2023

Abstract

Complex systems that consist of diverse kinds of entities that interact in different ways can be modeled by multilayer networks. This paper uses the tensor formalism with the Einstein product to model this type of networks. Several centrality measures, that are well known for single-layer networks, are extended to multilayer networks using tensors and their properties are investigated. In particular, subgraph centrality based on the exponential and resolvent of a tensor are considered. Krylov subspace methods based on the tensor format are introduced for computing approximations of different measures for large multilayer networks.
2023
Adjacency tensor; centrality measures; Einstein product; Krylov subspace method; multilayer networks; tensor functions
01 Pubblicazione su rivista::01a Articolo in rivista
A tensor formalism for multilayer network centrality measures using the Einstein product / El-Halouy, S.; Noschese, S.; Reichel, L.. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - (2023). [10.1016/j.apnum.2023.06.013]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1686046
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