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.
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Heuer et al. (2024) studied this question.
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