{
  "abstract": "We prove equivalences of asymmetric partition relations involving natural numbers and products of weakly compact cardinals $κ$, infinite cardinals $λ<κ$ and natural numbers to certain classes of finitary problems in the theory of edge-coloured digraphs. We are able to determine three classes of Ramsey numbers exactly, typical examples in these classes are $r(ω^2 2, 3)$, $r(κλ2, 3)$ and $r(κλ3, 3)$. We moreover provide general upper bounds for $r(ω^2 m, 3)$ and $r(κλm, n)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Weinert, T. Idiosynchromatic Poetry. Combinatorica 34, 707--742 (2014)",
  "arxiv": "2611.08079",
  "author_total": 1,
  "authors": [
    {
      "name": "Thilo Weinert"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1jtse5khpa1rq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08079",
  "fulltext_url": null,
  "id": "1jtse5khpa1rq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08079",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.LO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08079",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1jtse5khpa1rq.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.08079",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08079"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Idiosynchromatic Poetry",
  "title_text": "Idiosynchromatic Poetry",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:48Z",
  "url": "https://research.draconitic.com/paper/1jtse5khpa1rq",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/s00493-011-2980-1",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}