A note on the spectral radius and $[a,b]$-factor of graphs
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914018341421056 |
|---|---|
| author | Fan, Dandan Lin, Huiqiu Zhu, Yinfen |
| author_facet | Fan, Dandan Lin, Huiqiu Zhu, Yinfen |
| contents | The investigation of eigenvalue conditions for the existence of an $[a,b]$-factor originates in the work of Brouwer and Haemers (2005) on perfect matchings. In the decades since, spectral extremal problems related to $[a,b]$-factors have attracted considerable attention. In this paper, we establish a spectral radius condition that ensures the existence of an $[a,b]$-factor in a graph $G$ with minimum degree $δ(G) \geq a$, where $b > a \geq 1$. This result resolves a problem posed by Hao and Li [Electron. J. Combin. (2024)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00769 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the spectral radius and $[a,b]$-factor of graphs Fan, Dandan Lin, Huiqiu Zhu, Yinfen Spectral Theory The investigation of eigenvalue conditions for the existence of an $[a,b]$-factor originates in the work of Brouwer and Haemers (2005) on perfect matchings. In the decades since, spectral extremal problems related to $[a,b]$-factors have attracted considerable attention. In this paper, we establish a spectral radius condition that ensures the existence of an $[a,b]$-factor in a graph $G$ with minimum degree $δ(G) \geq a$, where $b > a \geq 1$. This result resolves a problem posed by Hao and Li [Electron. J. Combin. (2024)]. |
| title | A note on the spectral radius and $[a,b]$-factor of graphs |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2509.00769 |