19 citations · 63 across the 28 of their papers we have counts for
5 papers · 1 filter
Separating hyperplanes of edge polytopes
Takayuki Hibi, Nan Li, Yan X. Zhang
Let be a finite connected simple graph with vertices and let $\Pc_G \subset \RR^d$ be the edge polytope of . We call $\Pc_G$ \emph{decomposable} if $\Pc_G$ decomposes in…
Lipschitz-Volume rigidity in Alexandrov geometry
Nan Li
We prove a Lipschitz-Volume rigidity theorem in Alexandrov geometry, that is, if a 1-Lipschitz map between Alexandrov spaces preserves volume, then i…
Relatively maximum volume rigidity in Alexandrov geometry
Nan Li, Xiaochun Rong
Given a compact Alexadrov -space with curvature curv , and let be a distance non-increasing onto map to another Alexandrov -space with curv . Th…
External zonotopal algebra
Nan Li, Amos Ron
We provide a general, unified, framework for external zonotopal algebra. The approach is critically based on employing simultaneously the two dual algebraic constructs and invokes…
Ehrhart -vectors of hypersimplices
Nan Li
We consider the Ehrhart -vector for the hypersimplex. It is well-known that the sum of the is the normalized volume which equals an Eulerian numbers. The main result i…