arXiv Analytics

Sign in

arXiv:2403.07217 [math.CO]AbstractReferencesReviewsResources

Arrow Relations in Lattices of Integer Partitions

Asma'a Almazaydeh, Mike Behrisch, Edith Vargas-García, Andreas Wachtel

Published 2024-03-12Version 1

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.

Comments: 28 pages, 8 figures, 3 tables and 3 contexts
Categories: math.CO, math.NT
Subjects: 05A17, 11P81, 06B23, 06A07, 06B05, 06B15
Related articles: Most relevant | Search more
arXiv:1901.01634 [math.CO] (Published 2019-01-07)
Number Identities and Integer Partitions
arXiv:1910.14369 [math.CO] (Published 2019-10-31)
Index of seaweed algebras and integer partitions
arXiv:1805.07989 [math.CO] (Published 2018-05-21)
Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number

Links

Toolbox