{
  "abstract": "In an American-style crossword puzzle, the grid must be connected, 180-degree symmetric, and have minimum word length 3. Ferland and Pratt construct $n\\times n$ crossword grids with many clues satisfying these conditions and prove their construction is maximal when $n\\equiv 1$ or 3 $\\pmod{4}$. In this paper, we explore American-style crosswords in which the minimum word length is 4. Jacobs computed the maximal $15 \\times 15$ grid with minimum word length 4. In this paper, we construct grids with a maximal number of clues for all $n \\not \\equiv 0 \\pmod{5}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03364",
  "author_total": 2,
  "authors": [
    {
      "name": "Kelly Isham"
    },
    {
      "name": "Abigail Schnitzer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/914h9qasnz8br.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03364",
  "fulltext_url": null,
  "id": "914h9qasnz8br",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03364",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03364",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/914h9qasnz8br.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03364",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03364"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Maximizing Crossword Grids with a Fixed Minimum Clue Length",
  "title_text": "Maximizing Crossword Grids with a Fixed Minimum Clue Length",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/914h9qasnz8br",
  "venue": "arXiv",
  "versions": []
}