All reports by Author Zubayir Kazi:

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TR22-168
| 23rd November 2022
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Zubayir Kazi#### A Proof of the Generalized Union-Closed Set Conjecture assuming the Union-Closed Set Conjecture

Revisions: 2

Zubayir Kazi

Abstract The Union Closed Set Conjecture states that if a set system X\subseteq\mathcal{P}([n]) is closed under pairwise unions, then there exists a\in[n] in at least half of the sets of X. We show that there is a very natural generalization of the union closed set conjecture which gives a lower ... more >>>