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Non-isomorphic graphs have distinct vertex-Ramsey classes — arXiv:2610.03704

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.03704
License (as archived): CC0-1.0
Archived: 2026-10-06T08:25:38.528Z
SHA-256 of the archived text: 81b28b5c9fb959a3660ae961654bef71b7304d686faed34d8aec32eb4e0e5977
Stable URL of this page: https://metraipolis.com/documento/dc_71ac625f2f62

How to cite

Non-isomorphic graphs have distinct vertex-Ramsey classes — arXiv:2610.03704 — arXiv (en), https://arxiv.org/abs/2610.03704 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_71ac625f2f62 (Metraipolis archive dc_71ac625f2f62, sha256 81b28b5c9fb959a3660ae961654bef71b7304d686faed34d8aec32eb4e0e5977)

BibTeX

@misc{dc71ac625f2f62,
  title = {Non-isomorphic graphs have distinct vertex-Ramsey classes — arXiv:2610.03704},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.03704},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_71ac625f2f62; sha256 81b28b5c9fb959a3660ae961654bef71b7304d686faed34d8aec32eb4e0e5977},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.03704. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

For a graph $H$, its $k$-colour vertex Ramsey class is the set of all graphs $G$ such that any colouring of the vertices of $G$ in $k$ colours results in a monochromatic (induced) copy of $H$. We prove that for any $k$, Ramsey classes of any non-isomorphic graphs are distinct.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-10-05 in math.CO).
Categorie arXiv: Combinatorics (math.CO) ; Information Theory (cs.IT).
Pagina del lavoro: https://arxiv.org/abs/2610.03704 — 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 2026-10-06T08:18:48.323Z dalla pagina https://arxiv.org/catchup/math.CO/2026-10-05?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).