"The proof [...] was obtained in a conversation with ChatGPT-6 Astra on Tuesday, September 15, 2026 at 1:02 AM PDT. We then prepared this manuscript for public release, with the intent of uploading it on the morning of Thursday, September 17, 2026" Shameless, and shameful. arxiv.org/abs/2609.207...
arxiv.orgThe Strong Secretary Conjecture is True for Linear MatroidsWe prove a $1/e$ guarantee for the matroid secretary problem on linear matroids, therefore settling the strong secretary conjecture in this class of matroids. The result holds both when the matroid is...