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Integer Programming and Combinatoral Optimization

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Cover of 'Integer Programming and Combinatoral Optimization'

Table of Contents

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    Book Overview
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    Chapter 1 An Excluded Minor Characterization of Seymour Graphs
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    Chapter 2 Complexity Analyses of Bienstock–Zuckerberg and Lasserre Relaxations on the Matching and Stable Set Polytopes
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    Chapter 3 A Probabilistic Analysis of the Strength of the Split and Triangle Closures
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    Chapter 4 Partial Convexification of General MIPs by Dantzig-Wolfe Reformulation
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    Chapter 5 Lift-and-Project Cuts for Mixed Integer Convex Programs
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    Chapter 6 TSP on Cubic and Subcubic Graphs
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    Chapter 7 Approximability of Capacitated Network Design
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    Chapter 8 Facility Location with Client Latencies: Linear Programming Based Techniques for Minimum Latency Problems
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    Chapter 9 An Exact Rational Mixed-Integer Programming Solver
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    Chapter 10 Valid Inequalities for the Pooling Problem with Binary Variables
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    Chapter 11 On the Chvátal-Gomory Closure of a Compact Convex Set
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    Chapter 12 Design and Verify: A New Scheme for Generating Cutting-Planes
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    Chapter 13 Contact Center Scheduling with Strict Resource Requirements
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    Chapter 14 Set Covering with Ordered Replacement: Additive and Multiplicative Gaps
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    Chapter 15 Backdoor Branching
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    Chapter 16 A Subexponential Lower Bound for Zadeh’s Pivoting Rule for Solving Linear Programs and Games
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    Chapter 17 An Iterative Scheme for Valid Polynomial Inequality Generation in Binary Polynomial Programming
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    Chapter 18 A New Approach to the Stable Set Problem Based on Ellipsoids
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    Chapter 19 Capacitated Vehicle Routing with Non-uniform Speeds
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    Chapter 20 Approximation Algorithms for Single and Multi-Commodity Connected Facility Location
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    Chapter 21 Safe Lower Bounds for Graph Coloring
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    Chapter 22 Computing the Maximum Degree of Minors in Mixed Polynomial Matrices via Combinatorial Relaxation
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    Chapter 23 Constructing Extended Formulations from Reflection Relations
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    Chapter 24 Integrality Gaps of Linear and Semi-Definite Programming Relaxations for Knapsack
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    Chapter 25 Degree Bounded Forest Covering
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    Chapter 26 A Primal-Dual Algorithm for Weighted Abstract Cut Packing
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    Chapter 27 Convexification Techniques for Linear Complementarity Constraints
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    Chapter 28 Integer Programming and Combinatoral Optimization
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    Chapter 29 Universal Packet Routing with Arbitrary Bandwidths and Transit Times
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    Chapter 30 A Layered Graph Model and an Adaptive Layers Framework to Solve Delay-Constrained Minimum Tree Problems
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    Chapter 31 Jump Number of Two-Directional Orthogonal Ray Graphs
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    Chapter 32 Optimal Matching Forests and Valuated Delta-Matroids
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    Chapter 33 Fixed-Charge Transportation on a Path: Linear Programming Formulations
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