Ehrhart polynomial

Known as: Ehrhart polynomials, Erhart polynomial

In mathematics, an integral polytope has an associated Ehrhart polynomial that encodes the relationship between the volume of a polytope and the…

Papers overview

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2018

The Vietnam era was a time of great social unrest in Savannah. The Vietnam War and the Civil Rights Movement made Savannahians…

2018

Let ${\mathcal R}_\mathbb{K}[H]$ be the Hibi ring over a field $\mathbb{K}$ on a finite distributive lattice $H$, $P$ the set of…

2016

Parts I-III showed that the number of ways to place $q$ nonattacking queens or similar chess pieces on an $n\times n$ chessboard…

2015

It is shown that, for each d � 3 and 1 � kd 2, there exists an integral convex polytope P of dimension d such that the…

2013

The Ehrhart polynomial of the $d$-th hypersimplex $\Delta(d,n)$ of order $n$ is studied. By computational experiments and a known…

2013

O comportamento pro-ativo se refere a uma serie de comportamentos dirigidos a metas em que o trabalhador busca ativamente por…

2011

We prove that the Ehrhart polynomial of a zonotope is a specialization of the multiplicity Tutte polynomial. We derive some…

2011

First, we calculate the Ehrhart polynomial associated to an arbitrary cube with integer coordinates for its vertices. Then, we…

2008

M. Beck, J. De Loera, M. Develin, J. Pfeifle and R. Stanley found that the roots of the Ehrhart polynomial of a d-dimensional…

2005