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math.CO2005★ 33 cited
Permutohedra, associahedra, and beyond
Alexander Postnikov
The volume and the number of lattice points of the permutohedron P_n are given by certain multivariate polynomials that have remarkable combinatorial properties. We give several di…
math.CO2005★ 1 cited
Chains in the Bruhat order
Alexander Postnikov, Richard P. Stanley
We study a family of polynomials whose values express degrees of Schubert varieties in the generalized complex flag manifold G/B. The polynomials are given by weighted sums over sa…
math.CO2005
Alcoved Polytopes I
Thomas Lam, Alexander Postnikov
The aim of this paper is to study alcoved polytopes, which are polytopes arising from affine Coxeter arrangements. This class of convex polytopes includes many classical polytopes,…