{
  "abstract": "In the $q$-color online Ramsey game, Builder and Painter play on an infinite independent set of vertices. At each step, Builder draws an edge and Painter immediately assigns it one of $q$ colors. Builder aims to force a monochromatic copy of a fixed graph $H$. We prove that, for every $q \\ge 2$ and $d \\ge 1$, Builder can force a monochromatic copy of any $d$-degenerate graph $H$ while drawing a graph of degeneracy at most $d$. The bound $d$ is tight, and this resolves in the affirmative a problem of Conlon, Fox and Sudakov.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01516",
  "author_total": 3,
  "authors": [
    {
      "name": "Wen Chen"
    },
    {
      "name": "Qizhong Lin"
    },
    {
      "name": "Shixi Song"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9h98fqwxe4n51.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01516",
  "fulltext_url": null,
  "id": "9h98fqwxe4n51",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01516",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.01516",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9h98fqwxe4n51.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.01516",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01516"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Tight degeneracy bounds in online Ramsey games",
  "title_text": "Tight degeneracy bounds in online Ramsey games",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/9h98fqwxe4n51",
  "venue": "arXiv",
  "versions": []
}