The Combinatorics of Interval Vector Polytopes

[摘要] An interval vector is a $(0,1)$-vector in $\mathbb{R}^n$ for which all the $1$'s appear consecutively, and an interval vector polytope is the convex hull of a set of interval vectors in $\mathbb{R}^n$. We study three particular classes of interval vector

[学科分类] 离散数学和组合数学

[关键词] Interval vector;lattice polytope;Ehrhart polynomial;root polytope;Catalan number;$f$-vector