4 papers
Rook matroids and log-concavity of -Eulerian polynomials
Per Alexandersson, Aryaman Jal
We define and study rook matroids, the bases of which correspond to non-nesting rook placements on a skew Ferrers board. We show that rook matroids are a subclass of both transvers…
Fast computation of Ehrhart polynomials of Gelfand--Tsetlin polytopes via Macdonald reciprocity
Per Alexandersson
We describe an efficient method for computing the Ehrhart polynomial of Gelfand--Tsetlin polytopes arising from Kostka coefficients. The key idea is to exploit Ehrhart--Macdonald r…
Polynomials from tilings of rectangles
John Ahlberg, Per Alexandersson
We study tilings of rectangular boards using unit squares together with a single type of big tile shaped as a Ferrers diagram. We derive generating functions for these tilings, pro…
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…