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arXiv · 1102.1541

1234-avoiding permutations and Dyck paths

Marilena Barnabei·Flavio Bonetti·Matteo Silimbani
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Abstract

We define a map $ν$ between the symmetric group $S_n$ and the set of pairs of Dyck paths of semilength $n$. We show that the map $ν$ is injective when restricted to the set of 1234-avoiding permutations and characterize the image of this map.

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Marilena Barnabei, Flavio Bonetti, Matteo Silimbani. 2011-02-08. 1234-avoiding permutations and Dyck paths. https://arxiv.org/abs/1102.1541

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