Union- Closed Sets Conjecture
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Union- Closed Sets Conjecture

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In combinatorial mathematics, the union-closed sets conjecture is an elementary problem, posed by Péter Frankl in 1979 and still open as of 2008[update]. A family of sets is said to be union-closed if the union of any two sets from the family remains in the family. The conjecture states that for any finite union-closed family of finite sets, other than the family consisting only of the empty set, there exists an element that belongs to at least half of the sets in th...