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arXiv · 2103.06918

Permutations avoiding sets of patterns with long monotone subsequences

Miklós Bóna·Jay Pantone
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Abstract

We enumerate permutations that avoid all but one of the $k$ patterns of length $k$ starting with a monotone increasing subsequence of length $k-1$. We compare the size of such permutation classes to the size of the class of permutations avoiding the monotone increasing subsequence of length $k-1$.

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Miklós Bóna, Jay Pantone. 2022-08-22. Permutations avoiding sets of patterns with long monotone subsequences. https://arxiv.org/abs/2103.06918

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