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- W2014975771 abstract "Let 1 ⩽ k 1 ⩽ k 2 ⩽ … ⩽ k n be integers and let S denote the set of all vectors x = ( x 1 , x 2 , …, x n ) with integral coordinates satisfying 0 ⩽ x i ⩽ k i , i = 1, 2, …, n . The complement of x is ( k 1 − x 1 , k 2 − x 2 , …, k n − x n ) and a subset X of S is an antichain provided that for any two distinct elements x, y of X , the inequalities x i ⩽ y i , i = 1, 2, …, n , do not all hold. We determine an LYM inequality and the maximal cardinality of an antichain consisting of vectors and its complements. Also a generalization of the Erdös-Ko-Rado theorem is given." @default.
- W2014975771 created "2016-06-24" @default.
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- W2014975771 date "1980-11-01" @default.
- W2014975771 modified "2023-10-18" @default.
- W2014975771 title "On maximal antichains consisting of sets and their complements" @default.
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- W2014975771 doi "https://doi.org/10.1016/0097-3165(80)90034-5" @default.
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