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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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1989_11_01_alon_spencer: Alon and Spencer (J. Combin. Theory Ser. A 1989) prove that the two-color descending-wave number f(k) grows like k^3, so k^2 - k + 1 fails for all large k; accepted on the refereed publication and the site's credit.