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- W2021557596 abstract "It was proved by Erdös, Ko, and Radó (Intersection theorems for systems of finite sets, Quart. J. Math. Oxford Ser. 12 (1961), 313–320.) that if A = {;A1,…, Al}; consists of k-subsets of a set with n > 2k elements such that Ai ∩ Aj ≠ ∅ for all i, j then l ⩽ (k−1n−1). Schönheim proved that if A1, …, Al are subsets of a set S with n elements such that Ai ∉ Aj, Ai ∩ Aj ≠ ø and Ai ∪ Aj ≠ S for all i ≠ j then l ⩽ ([n2] − 1n − 1). In this note we prove a common strengthening of these results." @default.
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- W2021557596 date "1973-11-01" @default.
- W2021557596 modified "2023-09-27" @default.
- W2021557596 title "Sperner systems consisting of pairs of complementary subsets" @default.
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- W2021557596 doi "https://doi.org/10.1016/0097-3165(73)90086-1" @default.
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