{
  "abstract": "We characterize the following three classes of ordered trees: $\\qquad$ (1) trees $T$ satisfying $R_<(T,K_n)=O(n)$; $\\qquad$ (2) $χ$-bounding trees; $\\qquad$ (3) Ramsey-good trees. In particular, we show that the first two classes coincide. The second characterization answers a question of Axenovich, Rollin and Ueckerdt, and the third resolves a problem of Balko and Poljak. In our proof, we also introduce several novel constructions of ordered graphs with sublinear independence number, giving lower bounds on $R_<(F,K_n)$ for various ordered forests $F$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28299",
  "author_total": 3,
  "authors": [
    {
      "name": "Lior Gishboliner"
    },
    {
      "name": "Artur Kravtsov"
    },
    {
      "name": "Xiangyu Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/93a0r2xg03v8y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28299",
  "fulltext_url": null,
  "id": "93a0r2xg03v8y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28299",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7223091802",
  "pdf_url": "https://arxiv.org/pdf/2610.28299",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/93a0r2xg03v8y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.28299",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28299"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Ordered Trees with Linear Off-Diagonal Ramsey Numbers",
  "title_text": "Ordered Trees with Linear Off-Diagonal Ramsey Numbers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/93a0r2xg03v8y",
  "venue": "arXiv",
  "versions": []
}