Algebraic and Geometric Ideas in the Theory of Discrete Optimization
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Published By Society For Industrial And Applied Mathematics

9781611972436, 9781611972443

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Chapter 2: Tools from the Geometry of Numbers and Integer Optimization

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch2 ◽

2012 ◽

pp. 29-59

Keyword(s):

Integer Optimization ◽

Geometry Of Numbers

Chapter 11: Gröbner Bases in Integer Programming

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch11 ◽

2012 ◽

pp. 217-234

Keyword(s):

Integer Programming ◽

Gröbner Bases ◽

Grobner Bases

Chapter 14: Epilogue

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch14 ◽

2012 ◽

pp. 281-288

Chapter 9: Multicriteria Integer Linear Optimization via Integer Projection

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch9 ◽

2012 ◽

pp. 179-190

Keyword(s):

Linear Optimization ◽

Integer Linear Optimization

Chapter 12: The Nullstellensatz in Discrete Optimization

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch12 ◽

2012 ◽

pp. 237-263

Keyword(s):

Discrete Optimization

Chapter 5: Introduction to Generating Functions

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch5 ◽

2012 ◽

pp. 105-115

Keyword(s):

Generating Functions

Chapter 13: Positivity of Polynomials and Global Optimization

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch13 ◽

2012 ◽

pp. 265-280

Keyword(s):

Global Optimization

Chapter 3: Graver Bases

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch3 ◽

2012 ◽

pp. 63-76

Chapter 6: Decompositions of Indicator Functions of Polyhedra

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch6 ◽

2012 ◽

pp. 117-127

Keyword(s):

Indicator Functions

Chapter 4: Graver Bases for Block-Structured Integer Programs

Algebraic and Geometric Ideas in the Theory of Discrete Optimization ◽

10.1137/1.9781611972443.ch4 ◽

2012 ◽

pp. 77-102

Keyword(s):

Integer Programs ◽

Block Structured