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arxiv: 1502.05438 · v1 · submitted 2015-02-18 · 🧮 math.CO

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Log-concavity, the Ulam distance and involutions

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classification 🧮 math.CO
keywords distancepermutationsulamcollectiondefinedfixedformidentity
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We prove that in a large collection of naturally defined sets of permutations of fixed length, the numbers of permutations at Ulam distance k from the identity form a log-concave sequence in k.

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