Arrow Relations in Lattices of Integer Partitions
| 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 |
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