{
  "abstract": "As a generalisation of the Erdős-Sós conjecture about graphs, Addario-Berry, Havet, Linhares Sales, Reed and Thomassé conjectured that every digraph on $n$ vertices with more than $(k-1)n$ arcs contains every antidirected tree with $k$ arcs. We prove a dense, approximate version of this for trees with bounded maximum degree, as well as for trees whose layers are evenly distributed. We use a regularity based approach, centred around finding a copy of a given tree in the blow up of a caterpillar.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09142",
  "author_total": 3,
  "authors": [
    {
      "name": "Giovanne Santos"
    },
    {
      "name": "Maya Stein"
    },
    {
      "name": "Ella Williams"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8qfspph7b52jt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09142",
  "fulltext_url": null,
  "id": "8qfspph7b52jt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09142",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7212038623",
  "pdf_url": "https://arxiv.org/pdf/2609.09142",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8qfspph7b52jt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.09142",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09142"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Are trees really just butterflies in disguise?",
  "title_text": "Are trees really just butterflies in disguise?",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/8qfspph7b52jt",
  "venue": "arXiv",
  "versions": []
}