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- W3151839136 abstract "In 2017 Davis, Nelson, Petersen, and Tenner pioneered the study of pinnacle sets of permutations and asked whether there exists a class of operations, which applied to a permutation in Sn, can produce any other permutation with the same pinnacle set and no others. In this paper, we adapt a group action defined by Foata and Strehl to provide a way to generate all permutations with a given pinnacle set. From this we give an answer to a second question asked by Davis, Nelsen, Peterson, and Tenner, which asks for a closed non-recursive formula enumerating permutations with a given pinnacle set." @default.
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- W3151839136 date "2021-06-01" @default.
- W3151839136 modified "2023-09-24" @default.
- W3151839136 title "A formula for enumerating permutations with a fixed pinnacle set" @default.
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- W3151839136 doi "https://doi.org/10.1016/j.disc.2021.112375" @default.
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