The magnetic discrete Laplacian inferred from the Gauß–Bonnet operator and application

The magnetic discrete Laplacian inferred from the Gauß–Bonnet operator and application

We consider the notion of χ -completeness of a locally finite graph and we extend this notion to the weighted magnetic graph. Moreover, we establish a link between the magnetic adjacency matrix on line graph and the magnetic discrete Laplacian on 1-forms.

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Veröffentlicht in:Annals of functional analysis 2021-04, Vol.12 (2), Article 33
Hauptverfasser: Athmouni, Nassim, Baloudi, Hatem, Damak, Mondher, Ennaceur, Marwa
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
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Beschreibung
Zusammenfassung:We consider the notion of χ -completeness of a locally finite graph and we extend this notion to the weighted magnetic graph. Moreover, we establish a link between the magnetic adjacency matrix on line graph and the magnetic discrete Laplacian on 1-forms.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-021-00119-8