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Dec 8 at 15:38 vote accept Veronica Phan
S Dec 8 at 15:38 history bounty ended Veronica Phan
S Dec 8 at 15:38 history notice removed Veronica Phan
Dec 4 at 2:16 answer added Alex Ravsky timeline score: 6
Dec 3 at 20:27 comment added mhum Ah, I think I see. When $\mathcal{F} = 2^{[n]}$, then we can take $a_i = 2$ for all $i$ and the inequality is tight.
Dec 3 at 19:54 comment added Veronica Phan @mhum count itself too
Dec 3 at 19:45 comment added mhum do you count $S$ itself in the definition of $w(S)$ or is it just proper subsets of $S$? i.e.: are all the $w(S) \geq 2$ because every $S$ contains the empty set and $S$ itself?
S Dec 3 at 10:30 history bounty started Veronica Phan
S Dec 3 at 10:30 history notice added Veronica Phan Authoritative reference needed
Dec 1 at 13:24 history edited Veronica Phan CC BY-SA 4.0
added 13 characters in body; edited title
Dec 1 at 13:22 comment added Veronica Phan @mathworker21 If my conjecture, together with the last inequality is true, then the Frankl's conjecture is true. In other way, if my conjecture is true, we just need to prove the last inequality to prove the Frankl's conjecture.
Dec 1 at 13:12 comment added mathworker21 Wait, so you don't know if an affirmative answer to your question implies Frankl's conjecture? You need to prove something else as well? (Just making sure I understand.)
Dec 1 at 10:23 history asked Veronica Phan CC BY-SA 4.0