Claims

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1985_12_01_alon_frankl: Alon and Frankl's Theorem 1.4 bounds the comparable pairs of a family of 2^((1/(k+1)+δ)n) subsets, answering the third question yes, and their Example 6.1 answers the second question no; refereed in Graphs Combin. 1 (1985).

2014_11_15_alon_das_glebov_sudakov: Alon, Das, Glebov and Sudakov's stability theorem for comparable pairs, from which the site derives the first question's affirmative answer; refereed in JCTB 115 (2015), and credited by the site with that answer.

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