{
  "abstract": "Inspired by work of Gaster, Greene, and Vlamis on the chromatic number of curve graphs, we prove that every endomorphism of the total Kneser graph is an automorphism. We also show that the automorphism group of the total Kneser graph is the product of a pair of permutation groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03350",
  "author_total": 3,
  "authors": [
    {
      "name": "Esmaeil Alhaj Mostafa Abdan"
    },
    {
      "name": "Jacob Russell"
    },
    {
      "name": "Sophia Ulvestad"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8t4d2g0eaq1f7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03350",
  "fulltext_url": null,
  "id": "8t4d2g0eaq1f7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03350",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7220405274",
  "pdf_url": "https://arxiv.org/pdf/2610.03350",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8t4d2g0eaq1f7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2610.03350",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03350"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Endomorphisms of Total Kneser Graphs",
  "title_text": "Endomorphisms of Total Kneser Graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/8t4d2g0eaq1f7",
  "venue": "arXiv",
  "versions": []
}