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math.CO2017
Volumes and Ehrhart polynomials of flow polytopes
Karola Mészáros, Alejandro H. Morales
The Lidskii formula for the type root system expresses the volume and Ehrhart polynomial of the flow polytope of the complete graph with nonnegative integer netflows in terms…
math.CO2017★ 2 cited
Rook theory of the finite general linear group
Joel Brewster Lewis, Alejandro H. Morales
Matrices over a finite field having fixed rank and restricted support are a natural -analogue of rook placements on a board. We develop this -rook theory by defining a corres…
math.CO2017
Hook formulas for skew shapes III. Multivariate and product formulas
Alejandro H. Morales, Igor Pak, Greta Panova
We give new product formulas for the number of standard Young tableaux of certain skew shapes and for the principal evaluation of the certain Schubert polynomials. These are proved…