A graph without zero in its spectra
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910474756423680 |
|---|---|
| author | Anné, Colette Ayadi, Hela Balti, Marwa Torki-Hamza, Nabila |
| author_facet | Anné, Colette Ayadi, Hela Balti, Marwa Torki-Hamza, Nabila |
| contents | In this paper we consider the discrete Laplacian acting on 1-forms and we study its spectrum relative to the spectrum of the 0-form Laplacian. We show that the non zero spectrum can coincide for these Laplacians with the same nature. We examine the characteristics of 0-spectrum of the 1-form Laplacian compared to the cycles of graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03788 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A graph without zero in its spectra Anné, Colette Ayadi, Hela Balti, Marwa Torki-Hamza, Nabila Spectral Theory In this paper we consider the discrete Laplacian acting on 1-forms and we study its spectrum relative to the spectrum of the 0-form Laplacian. We show that the non zero spectrum can coincide for these Laplacians with the same nature. We examine the characteristics of 0-spectrum of the 1-form Laplacian compared to the cycles of graphs. |
| title | A graph without zero in its spectra |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2406.03788 |