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Maximizing Crossword Grids with a Fixed Minimum Clue Length — arXiv:2611.03364

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03364
License (as archived): CC0-1.0
Archived: 2026-11-03T18:50:43.505Z
SHA-256 of the archived text: b12aa2f62038469b6826f947dbfe0e58afc92aec956235bb0ca85265c8dc16c9
Stable URL of this page: https://metraipolis.com/documento/dc_cfbddaac72ca

How to cite

Maximizing Crossword Grids with a Fixed Minimum Clue Length — arXiv:2611.03364 — arXiv (en), https://arxiv.org/abs/2611.03364 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_cfbddaac72ca (Metraipolis archive dc_cfbddaac72ca, sha256 b12aa2f62038469b6826f947dbfe0e58afc92aec956235bb0ca85265c8dc16c9)

BibTeX

@misc{dccfbddaac72ca,
  title = {Maximizing Crossword Grids with a Fixed Minimum Clue Length — arXiv:2611.03364},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03364},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_cfbddaac72ca; sha256 b12aa2f62038469b6826f947dbfe0e58afc92aec956235bb0ca85265c8dc16c9},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03364. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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 $n \not \equiv 0 \pmod{5}$.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.CO, nuovi lavori del giorno).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2611.03364 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T18:15:38.106Z dalla pagina https://arxiv.org/list/math.CO/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).