| Title: |
Arrow Relations in Lattices of Integer Partitions |
| Authors: |
Almazaydeh, Asma'a, Behrisch, Mike, Vargas-García, Edith, Wachtel, Andreas |
| Source: |
International Journal of Approximate Reasoning 172 (September 2024) 109244:1-24 |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Combinatorics, Mathematics - Number Theory, 05A17, 11P81, 06B23, 06A07, 06B05, 06B15 |
| More Details: |
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.
Comment: 28 pages, 8 figures, 3 tables and 3 contexts |
| Document Type: |
Working Paper |
| DOI: |
10.1016/j.ijar.2024.109244 |
| Access URL: |
http://arxiv.org/abs/2403.07217 |
| Accession Number: |
edsarx.2403.07217 |
| Database: |
arXiv |
