English

On nu Faces of Partial Alternating Sign Matrix Polytopes

Combinatorics 2025-03-31 v2

Abstract

We define and study the (ν/λ)(\nu / \lambda)-partial alternating sign matrix polytope, motivated by connections to the Chan-Robbins-Yuen polytope and the ν\nu-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)(\nu / \lambda)-partial ASM polytope is an order polytope and a flow polytope.

Cite

@article{arxiv.2403.02204,
  title  = {On nu Faces of Partial Alternating Sign Matrix Polytopes},
  author = {Dylan Heuer and Sara Solhjem and Jessica Striker},
  journal= {arXiv preprint arXiv:2403.02204},
  year   = {2025}
}

Comments

15 pages, 8 figures

R2 v1 2026-06-28T15:08:37.162Z