2 papers
math.CO2024
Partial Alternating Sign Matrix Bijections and Dynamics
Dylan Heuer
We investigate analogues of alternating sign matrices, called partial alternating sign matrices. We prove bijections between these matrices and several other combinatorial objects.…
math.CO2024
On nu Faces of Partial Alternating Sign Matrix Polytopes
Dylan Heuer, Sara Solhjem, Jessica Striker
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 i…