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- W2087114314 abstract "The length is(w) of the longest increasing subsequence of a permutation w in the symmetric group Sn has been the object of much investigation. We develop comparable results for the length as(w) of the longest alternating subsequence of w, where a sequence a, b, c, d, . . . is alternating if a > b d < · · · . For instance, the expected value (mean) of as(w) for w ∈ Sn is exactly (4n + 1)/6 if n ≥ 2." @default.
- W2087114314 created "2016-06-24" @default.
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- W2087114314 date "2008-08-01" @default.
- W2087114314 modified "2023-10-10" @default.
- W2087114314 title "Longest alternating subsequences of permutations" @default.
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- W2087114314 doi "https://doi.org/10.1307/mmj/1220879431" @default.
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