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A New Upper Bound for 7-Universal Tournaments — arXiv:2610.06891

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.06891
License (as archived): CC0-1.0
Archived: 2026-10-07T11:53:26.644Z
SHA-256 of the archived text: 98483f9ffec1add0cbba889a85c468cf777f914a4c81a8f588afaa1a43869087
Stable URL of this page: https://metraipolis.com/documento/dc_8ba4e4ec30cf

How to cite

A New Upper Bound for 7-Universal Tournaments — arXiv:2610.06891 — arXiv (en), https://arxiv.org/abs/2610.06891 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_8ba4e4ec30cf (Metraipolis archive dc_8ba4e4ec30cf, sha256 98483f9ffec1add0cbba889a85c468cf777f914a4c81a8f588afaa1a43869087)

BibTeX

@misc{dc8ba4e4ec30cf,
  title = {A New Upper Bound for 7-Universal Tournaments — arXiv:2610.06891},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.06891},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_8ba4e4ec30cf; sha256 98483f9ffec1add0cbba889a85c468cf777f914a4c81a8f588afaa1a43869087},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.06891. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We give an explicit tournament on 14 vertices containing every 7-vertex tournament as an induced sub-tournament, and verify this property by exhaustive computation. This improves the previously known upper bound of 15. Together with the known lower bound, it follows that the minimum order of a 7-universal tournament is either 13 or 14.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.CO, nuovi lavori del giorno).
Categorie arXiv: Discrete Mathematics (cs.DM) ; Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2610.06891 — 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 2026-10-07T11:22:09.576Z dalla pagina https://arxiv.org/list/math.CO/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).