Combinatorics of $(m,n)$-Word Lattices
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914068579745792 |
|---|---|
| author | Mühle, Henri |
| author_facet | Mühle, Henri |
| contents | We study the $(m,n)$-word lattices recently introduced by V. Pilaud and D. Poliakova in their study of generalized Hochschild polytopes. We prove that these lattices are extremal and constructable by interval doublings. Moreover, we describe further combinatorial properties of these lattices, such as their cardinality, their canonical join representations and their Galois graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01539 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Combinatorics of $(m,n)$-Word Lattices Mühle, Henri Combinatorics 06D75, 05E99 We study the $(m,n)$-word lattices recently introduced by V. Pilaud and D. Poliakova in their study of generalized Hochschild polytopes. We prove that these lattices are extremal and constructable by interval doublings. Moreover, we describe further combinatorial properties of these lattices, such as their cardinality, their canonical join representations and their Galois graphs. |
| title | Combinatorics of $(m,n)$-Word Lattices |
| topic | Combinatorics 06D75, 05E99 |
| url | https://arxiv.org/abs/2312.01539 |