Ehrhart $f^*$-Coefficients of Polytopal Complexes are Non-negative Integers

[摘要] The Ehrhart polynomial $L_P$ of an integral polytope $P$ counts the number of integer points in integral dilates of $P$. Ehrhart polynomials of polytopes are often described in terms of their Ehrhart $h^*$-vector (aka Ehrhart $\delta$-vector), which is th

[学科分类] 离散数学和组合数学

[关键词] Ehrhart theory;$f^*$-vector;$h^*$-vector;Ehrhart polynomial;counting interpretation;non-negativity;partial polytopal complex;simplicial complex