Nan Li

activity

20102022

most citedGeneralized Ehrhart polynomials

19 citations · 63 across the 28 of their papers we have counts for

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3 papers · 1 filter

math.CO2010

Hermite normal forms and $δ$ -vector

Takayuki Hibi, Akihiro Higashitani, Nan Li

Let $δ(\Pc) = (δ_0, δ_1,..., δ_d)$ be the $δ$ -vector of an integral polytope $\Pc \subset \RR^N$ of dimension $d$ . Following the previous work of characterizing the $δ$ -vectors wit…

math.DG2010★ 1 cited

Bounding geometry of loops in Alexandrov spaces

Nan Li, Xiaochun Rong

For a path in a compact finite dimensional Alexandrov space $X$ with curv $\geq κ$ , the two basic geometric invariants are the length and the turning angle (which measures the close…

math.CO2010★ 19 cited

Generalized Ehrhart polynomials

Sheng Chen, Nan Li, Steven V Sam

Let $P$ be a polytope with rational vertices. A classical theorem of Ehrhart states that the number of lattice points in the dilations $P (n) = n P$ is a quasi-polynomial in $n$ . We…

Hermite normal forms and δ-vector

Bounding geometry of loops in Alexandrov spaces

Generalized Ehrhart polynomials

Hermite normal forms and $δ$ -vector