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math.CO2010
Hermite normal forms and -vector
Takayuki Hibi, Akihiro Higashitani, Nan Li
Let $δ(\Pc) = (δ_0, δ_1,..., δ_d)$ be the -vector of an integral polytope $\Pc \subset \RR^N$ of dimension . Following the previous work of characterizing the -vectors wit…
math.CO2010★ 19 cited
Generalized Ehrhart polynomials
Sheng Chen, Nan Li, Steven V Sam
Let be a polytope with rational vertices. A classical theorem of Ehrhart states that the number of lattice points in the dilations is a quasi-polynomial in . We…