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- W2019294877 abstract "Let fk(n) denote the maximum of k-subsets of an n-set satisfying the condition in the title. It is proven that f2t − 1(n) ⩽ f2t(n + 1) ⩽ (tn)(t2t−1) with equalities holding iff there exists a Steiner-system S(t, 2t − 1, n). The bounds are approximately best possile for k ⩽ 6 and of correct order of magnitude for k >/ 7, as well, even if the corresponding Steiner-systems do not exist. Exponential lower and upper bounds are obtained for the case if we do not put size restrictions on the members of the family (i.e., the nonuniform case)." @default.
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- W2019294877 date "1982-09-01" @default.
- W2019294877 modified "2023-10-16" @default.
- W2019294877 title "Families of finite sets in which no set is covered by the union of two others" @default.
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- W2019294877 doi "https://doi.org/10.1016/0097-3165(82)90004-8" @default.
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