Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics
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Published By American Mathematical Society

9780821841730, 9780821881316

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Perfect Delaunay polytopes and perfect quadratic functions on lattices

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08776 ◽

2008 ◽

pp. 93-114

Author(s):

Robert Erdahl ◽

Andrei Ordine ◽

Konstantin Rybnikov

Keyword(s):

Quadratic Functions

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Lattice reformulation of integer programming problems

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08768 ◽

2008 ◽

pp. 1-13

Author(s):

Karen Aardal

Keyword(s):

Integer Programming ◽

Integer Programming Problems

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Quadratic Gröbner bases arising from combinatorics

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08778 ◽

2008 ◽

pp. 123-138 ◽

Cited By ~ 1

Author(s):

Hidefumi Ohsugi ◽

Takayuki Hibi

Keyword(s):

Gröbner Bases ◽

Grobner Bases

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Combinatorial aspects of mirror symmetry

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08770 ◽

2008 ◽

pp. 35-66 ◽

Cited By ~ 20

Author(s):

Victor Batyrev ◽

Benjamin Nill

Keyword(s):

Mirror Symmetry

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Let me tell you my favorite lattice-point problem …

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08782 ◽

2008 ◽

pp. 179-187 ◽

Cited By ~ 4

Author(s):

Matthias Beck ◽

Benjamin Nill ◽

Bruce Reznick ◽

Carla Savage ◽

Ivan Soprunov ◽

...

Keyword(s):

Lattice Point ◽

Point Problem ◽

Lattice Point Problem

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Quasi-period collapse and 𝐺𝐿_{𝑛}(ℤ)-scissors congruence in rational polytopes

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08777 ◽

2008 ◽

pp. 115-122 ◽

Cited By ~ 4

Author(s):

Christian Haase ◽

Tyrrell B. McAllister

Keyword(s):

Scissors Congruence

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An explicit formulation for two dimensional vector partition functions

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08781 ◽

2008 ◽

pp. 163-178

Author(s):

Zhiqiang Xu

Keyword(s):

Partition Functions ◽

Two Dimensional ◽

Dimensional Vector ◽

Explicit Formulation

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Saturation points on faces of a rational polyhedral cone

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08780 ◽

2008 ◽

pp. 147-161 ◽

Cited By ~ 1

Author(s):

Akimichi Takemura ◽

Ruriko Yoshida

Keyword(s):

Polyhedral Cone

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Ehrhart analogue of the ℎ-vector

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08779 ◽

2008 ◽

pp. 139-146 ◽

Cited By ~ 2

Author(s):

Kalle Karu

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Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics ◽

10.1090/conm/452/08769 ◽

2008 ◽

pp. 15-33 ◽

Cited By ~ 17

Author(s):

Velleda Baldoni ◽

Nicole Berline ◽

Michèle Vergne

Keyword(s):

Rational Polytope

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Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary MathematicsLatest Publications

TOTAL DOCUMENTS

H-INDEX

Published By American Mathematical Society

Perfect Delaunay polytopes and perfect quadratic functions on lattices

Lattice reformulation of integer programming problems

Quadratic Gröbner bases arising from combinatorics

Combinatorial aspects of mirror symmetry

Let me tell you my favorite lattice-point problem …

Quasi-period collapse and 𝐺𝐿_{𝑛}(ℤ)-scissors congruence in rational polytopes

An explicit formulation for two dimensional vector partition functions

Saturation points on faces of a rational polyhedral cone

Ehrhart analogue of the ℎ-vector

Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope

Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics - Contemporary Mathematics
Latest Publications