{
  "abstract": "The $k$-color Ramsey number of a poset $P$ is the smallest dimension $d$ such that any $k$-coloring of the $d$-dimensional Boolean lattice contains a monochromatic induced copy of $P$. For $ j\\ge 2$ the $j$-diamond is the poset that consists of a maximum element, a minimum element and an antichain of size $j$. We prove that the $k$-color Ramsey number of the $j$-diamond is at most $jk$. Colorings of the Boolean lattice that assign sets of the same size the same color provide matching lower bounds for $j \\in \\{2,3,4\\}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20545",
  "author_total": 6,
  "authors": [
    {
      "name": "Tom Bohman"
    },
    {
      "name": "Will Cong"
    },
    {
      "name": "Quentin Dubroff"
    },
    {
      "name": "Teresa Huang"
    },
    {
      "name": "Zheyuan Li"
    },
    {
      "name": "BangTam Ngo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6w25pdvwbamq5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20545",
  "fulltext_url": null,
  "id": "6w25pdvwbamq5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20545",
  "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"
    ],
    [
      "openalex",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7222107245",
  "pdf_url": "https://arxiv.org/pdf/2610.20545",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6w25pdvwbamq5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.20545",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20545"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The $k$-color poset Ramsey number of the diamond is $2k$",
  "title_text": "The k-color poset Ramsey number of the diamond is 2k",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/6w25pdvwbamq5",
  "venue": "arXiv",
  "versions": []
}