{
  "abstract": "We prove a Dirac-type condition for an $r$-partite graph to admit a fractional clique decomposition: every sufficiently large $r$-partite graph with $n$ vertices in each part and partite minimum degree at least $(1 - \\frac{1}{30r^2}) n$ admits a fractional $K_r$-decomposition, subject to necessary divisibility conditions. This implies the same upper bound on the asymptotic minimum degree threshold for $r$-partite graphs to admit a $K_r$-decomposition, using a well-known reduction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08432",
  "author_total": 4,
  "authors": [
    {
      "name": "Sean Longbrake"
    },
    {
      "name": "Michael Simkin"
    },
    {
      "name": "Liana Yepremyan"
    },
    {
      "name": "Michael Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/70j7v84n0v5kt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08432",
  "fulltext_url": null,
  "id": "70j7v84n0v5kt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08432",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08432",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/70j7v84n0v5kt.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.08432",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08432"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An improved minimum degree threshold for fractional clique decompositions in partite graphs",
  "title_text": "An improved minimum degree threshold for fractional clique decompositions in partite graphs",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:49Z",
  "url": "https://research.draconitic.com/paper/70j7v84n0v5kt",
  "venue": "arXiv",
  "versions": []
}