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CORR
2010
Springer
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14 years 7 months ago
Maximum union-free subfamilies
An old problem of Moser asks: how large of a union-free subfamily does every family of m sets have? A family of sets is called union-free if there are no three distinct sets in th...
Jacob Fox, Choongbum Lee, Benny Sudakov
74
Voted
COMBINATORICS
1998
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14 years 10 months ago
New Bounds for Union-free Families of Sets
: Following Frankl and F¨uredi [1] we say a family, F, of subsets of an n-set is weakly union-free if F does not contain four distinct sets A, B, C, D with A ∪ B = C ∪ D. If i...
Don Coppersmith, James B. Shearer