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AI proof of the Erdős–Sós conjecture

An arXiv paper posted on 15 September 2026 presents an exposition of a proof of the Erdős–Sós Conjecture, which states that every graph with average degree greater than t-2 contains every tree on t≥2 vertices, attributing the proof's discovery to GPT-6 Astra. The paper, titled "The Erdős–Sós Theorem" (arXiv:2609.17877), appears in the math.HO (History and Overview) category.

read1 min views1 publishedSep 23, 2026
AI proof of the Erdős–Sós conjecture
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  [Submitted on 15 Sep 2026]


[View PDF](https://arxiv.org/pdf/2609.17877)

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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 $t\geq 2$ vertices.

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