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PreprintarXiv licencearXiv

The Erdős--Sós Theorem

Abstract

We present an exposition of a proof, discovered by GPT-6 Astra, of the Erdős--Sós Conjecture, which states that every graph with average degree greater than t−2 contains every tree on t≥ 2 vertices.

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BibTeX
@misc{wood2026erdőssós,
  title = {{The Erdős--Sós Theorem}},
  author = {David R. Wood},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17877},
  eprint = {2609.17877},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17877},
}
RIS
TY  - UNPB
TI  - The Erdős--Sós Theorem
AU  - David R. Wood
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17877
UR  - https://arxiv.org/abs/2609.17877
AB  - We present an exposition of a proof, discovered by GPT-6 Astra, of the Erdős--Sós Conjecture, which states that every graph with average degree greater than t−2 contains every tree on t≥ 2 vertices.
ER  -