{
  "abstract": "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2505.23293",
  "author_total": 3,
  "authors": [
    {
      "name": "Victor Chepoi"
    },
    {
      "name": "Anthony Genevois"
    },
    {
      "name": "Kolja Knauer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7rzbs26egsk3c.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "7rzbs26egsk3c",
  "issns": [],
  "landing_url": "https://hal.science/hal-05768723v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05768723/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7rzbs26egsk3c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:43Z",
      "native_id": "hal-05768723",
      "source": "hal",
      "url": "https://hal.science/hal-05768723v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Cell structure of mediangle graphs",
  "title_text": "Cell structure of mediangle graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:43Z",
  "url": "https://research.draconitic.com/paper/7rzbs26egsk3c",
  "venue": "HAL",
  "versions": []
}