March 4, 2024Open Access

On nu Faces of Partial Alternating Sign Matrix Polytopes

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Resumen

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

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Cite This Study

Heuer et al. (Mon,) studied this question.

synapsesocial.com/papers/68e75ddfb6db6435876d516e https://doi.org/https://doi.org/10.48550/arxiv.2403.02204

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1Partial Alternating Sign Matrix Bijections and Dynamics2024
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3The characterization of an Alternating Sign Matrix using a triplet2024
4Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity2025
5Groups of singular alternating sign matrices2024

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