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… (More)
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2011
2011
Several polytopes arise from finite graphs. For edge and symmetric edge polytopes, in particular, exhaustive computation of the… (More)
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2008
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… (More)
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2007
2007
We determine lattice polytopes of smallest volume with a given number of interior lattice points. We show that the Ehrhart… (More)
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2006
2006
There is a simple formula for the Ehrhart polynomial of a cyclic polytope. The purpose of this paper is to show that the same… (More)
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2004
2004
The n Birkhoff polytope is the set of all doubly stochastic n × n matrices, that is, those matrices with nonnegative real… (More)
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2003
2003
The n Birkhoff polytope is the set of all doubly stochastic n × n matrices, that is, those matrices with nonnegative real… (More)
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Highly Cited
1996
Highly Cited
1996
In order to produce efficient parallel programs, optimizing compilers need to include an analysis of the initial sequential code… (More)
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1996
1996
The problem of counting the number of lattice points inside a lattice polytope in Rn has been studied from a variety of… (More)
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1995
1995
LetA be a subspace arrangement and let χ(A, t) be the characteristic polynomial of its intersection latticeL(A). We show that if… (More)
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1994
1994
The problem of counting integral points in polyhedra has been of interest for a long time. It is known that generally this… (More)
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