Arrow Relations in Lattices of Integer Partitions
Combinatorics
2024-07-09 v1 Number Theory
Abstract
We give a complete characterisation of the single and double arrow relations of the standard context of the lattice of partitions of any positive integer under the dominance order, thereby addressing an open question of Ganter, 2022.
Keywords
Cite
@article{arxiv.2403.07217,
title = {Arrow Relations in Lattices of Integer Partitions},
author = {Asma'a Almazaydeh and Mike Behrisch and Edith Vargas-García and Andreas Wachtel},
journal= {arXiv preprint arXiv:2403.07217},
year = {2024}
}
Comments
28 pages, 8 figures, 3 tables and 3 contexts