Shape Avoiding Permutations

Ron M. Adin; Yuval Roichman

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Shape Avoiding Permutations

Ron M. Adin·Yuval Roichman

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Abstract

Permutations avoiding all patterns of a given shape (in the sense of Robinson-Schensted-Knuth) are considered. We show that the shapes of all such permutations are contained in a suitable thick hook, and deduce an exponential growth rate for their number.

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BibTeX RIS

Ron M. Adin, Yuval Roichman. 2001-03-23. Shape Avoiding Permutations. https://arxiv.org/abs/math/9912119

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