Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: Family 188. The sharp constant in random triangle removal

Family claims › Combinatorics · lines 1291–1296

OpenAI@2026-10-07#rem:oai-188

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Starting from the complete graph on vertices, repeatedly delete a uniformly chosen remaining triangle. The terminal edge count is asymptotic to , with mean-square convergence after normalization by . This proves the triangle case of the Joos–Kühn sharp-constant conjecture.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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