Restricted Birkhoff polytopes and Ehrhart period collapse
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Publication:6662766
DOI10.1007/s00454-023-00611-zMaRDI QIDQ6662766
Per Alexandersson, Sam Hopkins, Gjergji Zaimi
Publication date: 14 January 2025
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Ehrhart polynomialBirkhoff polytopeRSK correspondenceGelfand-Tsetlin polytopeperiod collapseorder and chain polytopes
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symmetric functions and generalizations (05E05) Algebraic aspects of posets (06A11)
Cites Work
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- Minkowski polynomials and mutations
- Promotion and rowmotion
- Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes
- Antichain toggling and rowmotion
- A generating function for all semi-magic squares and the volume of the Birkhoff polytope
- Iterative properties of birational rowmotion. II: Rectangles and triangles.
- Two poset polytopes
- The Ehrhart polynomial of the Birkhoff polytope
- A polytope related to empirical distributions, plane trees, parking functions, and the associahedron
- Irrational triangles with polynomial Ehrhart functions
- Vertices of Gelfand-Tsetlin polytopes
- The minimum period of the Ehrhart quasi-polynomial of a rational polytope
- On the Littlewood-Richardson polynomials
- A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\)
- A polynomiality property for Littlewood-Richardson coefficients
- Four questions on Birkhoff polytopes
- Combinatorial, piecewise-linear, and birational homomesy for products of two chains
- Matroids are not Ehrhart positive
- Ehrhart quasi-period collapse in rational polygons
- On positivity of Ehrhart polynomials
- Maximal periods of (Ehrhart) quasi-polynomials
- Longest Increasing and Decreasing Subsequences
- Combinatorics and Geometry of Transportation Polytopes: An Update
- The asymptotic volume of the Birkhoff polytope
- Quasi-period collapse and GL_n(Z)-scissors congruence in rational polytopes
- Lectures on Polytopes
- On the Volume of the Polytope of Doubly Stochastic Matrices
- A birational lifting of the Stanley-Thomas word on products of two chains
- Period collapse in Ehrhart quasi-polynomials of \(\{1,3\}\)-graphs
- Computing the Continuous Discretely
- Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance
- Polytopes and Large Counterexamples
- Pattern-avoiding polytopes
- Hook length formula and geometric combinatorics
- Gelfand-Tsetlin polytopes and the integer decomposition property
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