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Erdős-Sós via random cyclic orderings — arXiv:2609.21159

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.21159
License (as archived): CC0-1.0
Archived: 2026-10-10T02:10:26.538Z
SHA-256 of the archived text: f1edb8bc030c8f3bc3d27c02f82ca33e4d5072c3d4b4a7ba909d4e1fcdecbebf
Stable URL of this page: https://metraipolis.com/documento/dc_5fc221a4e316

How to cite

Erdős-Sós via random cyclic orderings — arXiv:2609.21159 — arXiv (en), https://arxiv.org/abs/2609.21159 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_5fc221a4e316 (Metraipolis archive dc_5fc221a4e316, sha256 f1edb8bc030c8f3bc3d27c02f82ca33e4d5072c3d4b4a7ba909d4e1fcdecbebf)

BibTeX

@misc{dc5fc221a4e316,
  title = {Erdős-Sós via random cyclic orderings — arXiv:2609.21159},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.21159},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_5fc221a4e316; sha256 f1edb8bc030c8f3bc3d27c02f82ca33e4d5072c3d4b4a7ba909d4e1fcdecbebf},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.21159. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We present a simplified proof of the Erdős-Sós Conjecture on trees in graphs, which is based on its recent resolution by GPT-6 Astra. At the same time, we also give another proof of the corresponding conjecture for antidirected trees in digraphs, posed by Addario-Berry, Havet, Linhares Sales, Reed, and Thomassé. Our proof uses the language of random cyclic orderings in order to take advantage of symmetries that were obscured in the original argument, and we hope that the reader will find it intuitive.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-21 in math.CO).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2609.21159 — 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 2026-10-10T01:48:20.586Z dalla pagina https://arxiv.org/catchup/math.CO/2026-09-21?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).