Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.CO 3years
2026 3representative citing papers
All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.
An adaptive strategy using Ehrhart-Macdonald reciprocity for negative-integer evaluations speeds up Ehrhart polynomial computation for Gelfand-Tsetlin polytopes arising from Kostka coefficients.
citing papers explorer
-
Order polytopes of generalized snake posets are $h^*$-real-rooted
Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.
-
Ehrhart positivity for lattice path matroids
All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.
-
Fast computation of Ehrhart polynomials of Gelfand--Tsetlin polytopes via Macdonald reciprocity
An adaptive strategy using Ehrhart-Macdonald reciprocity for negative-integer evaluations speeds up Ehrhart polynomial computation for Gelfand-Tsetlin polytopes arising from Kostka coefficients.