2-switch: transition and stability on forests and pseudofests
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918533064032256 |
|---|---|
| author | Schvöllner, Victor N. Pastine, Adrián Jaume, Daniel A. |
| author_facet | Schvöllner, Victor N. Pastine, Adrián Jaume, Daniel A. |
| contents | Given any two forests (pseudoforests) with the same degree sequence, we show that one can be transformed into the other by a sequence of 2-switches in such a way that all the intermediate graphs of the transformation are forests (pseudoforests). We also prove that the 2-switch operation perturbs minimally some well-known integer parameters in families of graphs with the same degree sequence. Then, we apply these results to conclude that the studied parameters have the interval property in those families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07439 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 2-switch: transition and stability on forests and pseudofests Schvöllner, Victor N. Pastine, Adrián Jaume, Daniel A. Combinatorics Given any two forests (pseudoforests) with the same degree sequence, we show that one can be transformed into the other by a sequence of 2-switches in such a way that all the intermediate graphs of the transformation are forests (pseudoforests). We also prove that the 2-switch operation perturbs minimally some well-known integer parameters in families of graphs with the same degree sequence. Then, we apply these results to conclude that the studied parameters have the interval property in those families. |
| title | 2-switch: transition and stability on forests and pseudofests |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2603.07439 |