A note on non-regular Bonnet-Myers Sharp Graphs
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929337614204928 |
|---|---|
| author | Cushing, David Stone, Adam J. |
| author_facet | Cushing, David Stone, Adam J. |
| contents | Self-centred regular graphs which are Ollivier-Ricci Bonnet-Myers sharp have been completely classified. When the conditions of self-centeredness and regularity are removed it is an open problem on what the classification is. We present a complete classification of Bonnet-Myers sharp graphs with a diameter 2 and show that there exists Bonnet-Myers sharp graphs of diameter 3, 4 and 6 that belong to a family of graphs called symmetrical antitees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on non-regular Bonnet-Myers Sharp Graphs Cushing, David Stone, Adam J. Combinatorics Self-centred regular graphs which are Ollivier-Ricci Bonnet-Myers sharp have been completely classified. When the conditions of self-centeredness and regularity are removed it is an open problem on what the classification is. We present a complete classification of Bonnet-Myers sharp graphs with a diameter 2 and show that there exists Bonnet-Myers sharp graphs of diameter 3, 4 and 6 that belong to a family of graphs called symmetrical antitees. |
| title | A note on non-regular Bonnet-Myers Sharp Graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2405.04703 |