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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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Claims

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2013_10_10_wood: For every t a triangle-free 2-degenerate t-uniform hypergraph with chromatic number 3 has fewer than 2|X| edges inside every nonempty X, so no valid constant reaches 2; credited by the site as the counterexample, not refereed.

2025_12_04_koishichan: For every t a (t+1)-uniform hypergraph without property B has at most 2|X| edges inside every vertex set X, so no valid constant exceeds 2 and the sequence c_t cannot tend to infinity; accepted by the site, third-party Lean.