Matroids are not Ehrhart positive
From MaRDI portal
Publication:2136552
DOI10.1016/j.aim.2022.108337zbMath1487.52022arXiv2105.04465OpenAlexW3161963287MaRDI QIDQ2136552
Publication date: 11 May 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.04465
Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items (5)
Ehrhart polynomials of rank two matroids ⋮ Matroid relaxations and Kazhdan-Lusztig non-degeneracy ⋮ Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity ⋮ Ehrhart theory of paving and panhandle matroids ⋮ On the Ehrhart polynomial of Schubert matroids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the number of matroids
- On the number of matroids compared to the number of sparse paving matroids
- Some new distance-4 constant weight codes
- Matroid polytopes, nested sets and Bergman fans
- Faces of generalized permutohedra
- Matroid polytopes and their volumes
- Ehrhart polynomials of matroid polytopes and polymatroids
- Combinatorial geometries, convex polyhedra, and Schubert cells
- Log-concavity of Stirling numbers and unimodality of Stirling distributions
- Alpha-balanced graphs and matrices and GF(3)-representability of matroids
- Ternary paving matroids
- Ehrhart polynomials with negative coefficients
- Combinatorial optimization. Polyhedra and efficiency (3 volumes)
- Valuative invariants for polymatroids
- Berline-Vergne valuation and generalized permutohedra
- Stanley's non-Ehrhart-positive order polytopes
- Integer point enumeration on independence polytopes and half-open hypersimplices
- Hypersimplices are Ehrhart positive
- On the asymptotic proportion of connected matroids
- Matroids from hypersimplex splits
- On positivity of Ehrhart polynomials
- Upper bounds for constant-weight codes
- Permutohedra, Associahedra, and Beyond
- Lower bounds for constant weight codes
- Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
- Combinatorial Reciprocity Theorems
- THE HILBERT SERIES OF ALGEBRAS OF THE VERONESE TYPE
- Computing the Continuous Discretely
- An extremal problem for non-separable matroids
- On the Todd class of the permutohedral variety
This page was built for publication: Matroids are not Ehrhart positive
