On nu Faces of Partial Alternating Sign Matrix Polytopes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916664178638848 |
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| author | Heuer, Dylan Solhjem, Sara Striker, Jessica |
| author_facet | Heuer, Dylan Solhjem, Sara Striker, Jessica |
| contents | We define and study the $(ν/ λ)$-partial alternating sign matrix polytope, motivated by connections to the Chan-Robbins-Yuen polytope and the $ν$-Tamari lattice. We determine the inequality description and show this polytope is a face of the partial alternating sign matrix polytope of [Heuer, Striker 2022]. We show that the $(ν/ λ)$-partial ASM polytope is an order polytope and a flow polytope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02204 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On nu Faces of Partial Alternating Sign Matrix Polytopes Heuer, Dylan Solhjem, Sara Striker, Jessica Combinatorics 05A05, 52B05 We define and study the $(ν/ λ)$-partial alternating sign matrix polytope, motivated by connections to the Chan-Robbins-Yuen polytope and the $ν$-Tamari lattice. We determine the inequality description and show this polytope is a face of the partial alternating sign matrix polytope of [Heuer, Striker 2022]. We show that the $(ν/ λ)$-partial ASM polytope is an order polytope and a flow polytope. |
| title | On nu Faces of Partial Alternating Sign Matrix Polytopes |
| topic | Combinatorics 05A05, 52B05 |
| url | https://arxiv.org/abs/2403.02204 |