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A New Class of Wilf-Equivalent Permutations

Zvezdelina Stankova-Frenkel·Julian West
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Abstract

For about 10 years, the classification of permutation patterns was thought completed up to length 6. In this paper, we establish a new class of Wilf-equivalent permutation patterns, namely, (n-1,n-2,n,tau)~(n-2,n,n-1,tau) for any tau in S_{n-3}. In particular, at level n=6, this result includes the only missing equivalence (546213)~(465213), and for n=7 it completes the classification of permutation patterns by settling all remaining cases in S_7.

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Zvezdelina Stankova-Frenkel, Julian West. 2001-06-11. A New Class of Wilf-Equivalent Permutations. https://arxiv.org/abs/math/0103152

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