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- W2964274477 abstract "A permutation of n letters is k -prolific if each ( n − k ) -subset of the letters in its one-line notation forms a unique pattern. We present a complete characterization of k -prolific permutations for each k , proving that k -prolific permutations of m letters exist for every m ⩾ k 2 / 2 + 2 k + 1 , and that none exist of smaller size. Key to these results is a natural bijection between k -prolific permutations and certain “permuted” packings of diamonds." @default.
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- W2964274477 date "2018-01-01" @default.
- W2964274477 modified "2023-09-29" @default.
- W2964274477 title "Prolific permutations and permuted packings: Downsets containing many large patterns" @default.
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- W2964274477 doi "https://doi.org/10.1016/j.jcta.2017.08.006" @default.
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