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arxiv: 1406.5207 · v1 · pith:NAMBBZVVnew · submitted 2014-06-19 · 🧮 math.CO

On the longest k-alternating subsequence

classification 🧮 math.CO
keywords k-alternatinglongestasymptoticlengthpermutationrandomsubsequencesubstring
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We show that the longest k-alternating substring of a random permutation has length asymptotic to 2 (n-k) / 3.

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