Deutsch
 
Benutzerhandbuch Datenschutzhinweis Impressum Kontakt
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Zeitschriftenartikel

Graph product multilayer networks: spectral properties and applications

MPG-Autoren
/persons/resource/persons195719

Sayama,  Hiroki
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

Externe Ressourcen
Volltexte (frei zugänglich)

1701.01110.pdf
(Preprint), 735KB

Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Sayama, H. (2018). Graph product multilayer networks: spectral properties and applications. Journal of Complex Networks, 6(3), 430-447. doi:10.1093/comnet/cnx042.


Zitierlink: http://hdl.handle.net/21.11116/0000-0002-095C-E
Zusammenfassung
This article aims to establish theoretical foundations of graph product multilayer networks (GPMNs), a family of multilayer networks that can be obtained as a graph product of two or more factor networks. Cartesian, direct (tensor), and strong product operators are considered, and then generalized. We first describe mathematical relationships between GPMNs and their factor networks regarding their degree/strength, adjacency, and Laplacian spectra, and then show that those relationships can still hold for non-simple and generalized GPMNs. Applications of GPMNs are discussed in three areas: predicting epidemic thresholds, modelling propagation in non-trivial space and time, and analysing higher-order properties of self-similar networks. Directions of future research are also discussed.