On Directed Graphs with the Same Sum over Arborescence Weights
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_ | 1866911508338835456 |
|---|---|
| author | Ghosh, Sayani Meyer, Bradley S. |
| author_facet | Ghosh, Sayani Meyer, Bradley S. |
| contents | We show that certain digraphs with the same vertex set but different arc sets have the same sum over the weights of all arborescences with a given root vertex. We relate our results to the Matrix-Tree Theorem and show how they provide a graphical approach for factoring matrix determinants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11451 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Directed Graphs with the Same Sum over Arborescence Weights Ghosh, Sayani Meyer, Bradley S. Combinatorics We show that certain digraphs with the same vertex set but different arc sets have the same sum over the weights of all arborescences with a given root vertex. We relate our results to the Matrix-Tree Theorem and show how they provide a graphical approach for factoring matrix determinants. |
| title | On Directed Graphs with the Same Sum over Arborescence Weights |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2603.11451 |