Cell structure of mediangle graphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918532877385728 |
|---|---|
| author | Chepoi, Victor Genevois, Anthony Knauer, Kolja |
| author_facet | Chepoi, Victor Genevois, Anthony Knauer, Kolja |
| contents | Mediangle graphs are a common generalization of median graphs (1-sekeleta of CAT(0) cube complexes) and Coxeter graphs (Cayley graphs of Coxeter systems). Answering a question motivated from geometric group theory, we show that these graphs can be endowed with the structure of a contractible cell complex. We further show that the cells of this complex are products of simplices and simplicial oriented matroids. A crucial part of the proof identifies bipartite mediangle graphs as tope graphs of finitary Complexes of Oriented Matroids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cell structure of mediangle graphs Chepoi, Victor Genevois, Anthony Knauer, Kolja Combinatorics Group Theory Metric Geometry Mediangle graphs are a common generalization of median graphs (1-sekeleta of CAT(0) cube complexes) and Coxeter graphs (Cayley graphs of Coxeter systems). Answering a question motivated from geometric group theory, we show that these graphs can be endowed with the structure of a contractible cell complex. We further show that the cells of this complex are products of simplices and simplicial oriented matroids. A crucial part of the proof identifies bipartite mediangle graphs as tope graphs of finitary Complexes of Oriented Matroids. |
| title | Cell structure of mediangle graphs |
| topic | Combinatorics Group Theory Metric Geometry |
| url | https://arxiv.org/abs/2505.23293 |