Arrow Relations in Lattices of Integer Partitions

Fuente: arXiv
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Autori principali: Almazaydeh, Asma'a, Behrisch, Mike, Vargas-García, Edith, Wachtel, Andreas
Natura: Preprint
Pubblicazione: 2024
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author Almazaydeh, Asma'a
Behrisch, Mike
Vargas-García, Edith
Wachtel, Andreas
author_facet Almazaydeh, Asma'a
Behrisch, Mike
Vargas-García, Edith
Wachtel, Andreas
contents We give a complete characterisation of the single and double arrow relations of the standard context $K(L_n)$ of the lattice $L_n$ of partitions of any positive integer $n$ under the dominance order, thereby addressing an open question of Ganter, 2022.
format Preprint
id arxiv_https___arxiv_org_abs_2403_07217
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Arrow Relations in Lattices of Integer Partitions
Almazaydeh, Asma'a
Behrisch, Mike
Vargas-García, Edith
Wachtel, Andreas
Combinatorics
Number Theory
05A17, 11P81, 06B23, 06A07, 06B05, 06B15
We give a complete characterisation of the single and double arrow relations of the standard context $K(L_n)$ of the lattice $L_n$ of partitions of any positive integer $n$ under the dominance order, thereby addressing an open question of Ganter, 2022.
title Arrow Relations in Lattices of Integer Partitions
topic Combinatorics
Number Theory
05A17, 11P81, 06B23, 06A07, 06B05, 06B15
url https://arxiv.org/abs/2403.07217