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math.CO2025
Positroidal aspects of non-nesting rook placements
Aryaman Jal
Rook matroids were recently introduced by the author and Alexandersson as matroids whose bases arise from certain restricted rook placements on a skew-shaped board. They were shown…
math.CO2025
Real-rootedness of rook-Eulerian polynomials
Per Alexandersson, Aryaman Jal, Maena Quemener
We introduce rook-Eulerian polynomials, a generalization of the classical Eulerian polynomials arising from complete rook placements on Ferrers boards, and prove that they are real…