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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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1984_01_01_erdos_hajnal_mate_rado: Erdős, Hajnal, Máté and Rado's monograph (North-Holland, 1984) proves the stepping-up implication, under the Erdős–Hajnal list's conditions, in five cases; claimed, since the monograph is not a journal paper.
2026_01_31_zeraoulia: Answers the site's wording (no condition on gamma or on the kappa_alpha), not the corrected Statement (gamma at least 2 and every kappa_alpha above r), so it does not count toward the problem's standing. With one color and target lambda^+, the premise of the stepping-up implication holds and its conclusion fails; a self-published note.
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