Claims

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2007_06_13_fox_sudakov: Fox and Sudakov prove the second clause for density n to the minus beta, 0 < beta < 1/5, with n^{2-2beta}/64 edges; refereed in J. Combin. Theory Ser. B; the first clause is untouched.

2026_06_02_li: A 2026 preprint claims the second clause for every density at least n to the minus 1/3, together with results on the first clause that settle no instance of it; unrefereed.

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