On a Special Class of Hyper-Permutahedra

[摘要] Minkowski sums of simplices in ${\mathbb{R}}^n$ form an interesting class of polytopes that seem to emerge in various situations. In this paper we discuss the Minkowski sum of the  simplices $\Delta_{k-1}$ in ${\mathbb{R}}^n$ where $k$ and $n$ are fixed,

[学科分类] 离散数学和组合数学

[关键词] Polytope;Permutahedron;Minkowski sum;Flag polynomial;Exponential flag function.