Restricted Permutations Enumerated by Inversions

Fuente: arXiv
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Hauptverfasser: Franklín, Atli Fannar, Claesson, Anders, Bean, Christian, Úlfarsson, Henning, Pantone, Jay
Format: Preprint
Veröffentlicht: 2024
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author Franklín, Atli Fannar
Claesson, Anders
Bean, Christian
Úlfarsson, Henning
Pantone, Jay
author_facet Franklín, Atli Fannar
Claesson, Anders
Bean, Christian
Úlfarsson, Henning
Pantone, Jay
contents Permutations are usually enumerated by size, but new results can be found by enumerating them by inversions instead, in which case one must restrict one's attention to indecomposable permutations. In the style of the seminal paper by Simion and Schmidt, we investigate all combinations of permutation patterns of length at most 3.
format Preprint
id arxiv_https___arxiv_org_abs_2406_16403
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Restricted Permutations Enumerated by Inversions
Franklín, Atli Fannar
Claesson, Anders
Bean, Christian
Úlfarsson, Henning
Pantone, Jay
Discrete Mathematics
Permutations are usually enumerated by size, but new results can be found by enumerating them by inversions instead, in which case one must restrict one's attention to indecomposable permutations. In the style of the seminal paper by Simion and Schmidt, we investigate all combinations of permutation patterns of length at most 3.
title Restricted Permutations Enumerated by Inversions
topic Discrete Mathematics
url https://arxiv.org/abs/2406.16403