Main $\mathbf{Q}$-eigenvalues of quasi-threshold graphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918338590932992 |
|---|---|
| author | Jones, Átila Trevisan, Vilmar Vinagre, Cybele T. M. |
| author_facet | Jones, Átila Trevisan, Vilmar Vinagre, Cybele T. M. |
| contents | In this note, we present a structural description of certain connected cographs having $k \geq 2$ main signless Laplacian eigenvalues. This result allows us to characterize the cographs which are quasi-threshold graphs with two main $\mathbf{Q}$-eigenvalues. In addition, we describe all the quasi-threshold graphs belonging to the subclass of generalized core-satellite graphs with $k \geq 2$ main $\mathbf{Q}$-eigenvalues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09396 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Main $\mathbf{Q}$-eigenvalues of quasi-threshold graphs Jones, Átila Trevisan, Vilmar Vinagre, Cybele T. M. Combinatorics 05C50 (Primary) 05C75 (Secondary) In this note, we present a structural description of certain connected cographs having $k \geq 2$ main signless Laplacian eigenvalues. This result allows us to characterize the cographs which are quasi-threshold graphs with two main $\mathbf{Q}$-eigenvalues. In addition, we describe all the quasi-threshold graphs belonging to the subclass of generalized core-satellite graphs with $k \geq 2$ main $\mathbf{Q}$-eigenvalues. |
| title | Main $\mathbf{Q}$-eigenvalues of quasi-threshold graphs |
| topic | Combinatorics 05C50 (Primary) 05C75 (Secondary) |
| url | https://arxiv.org/abs/2404.09396 |