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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

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Cover of 'Approximation, Randomization, and Combinatorial  Optimization. Algorithms and Techniques'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Approximation Algorithms for the Bottleneck Asymmetric Traveling Salesman Problem
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    Chapter 2 Improved Inapproximability for Submodular Maximization
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    Chapter 3 Approximation Algorithms for the Directed k-Tour and k-Stroll Problems
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    Chapter 4 Submodular Secretary Problem and Extensions
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    Chapter 5 Approximation Algorithms for Min-Max Generalization Problems
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    Chapter 6 Min-Power Strong Connectivity
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    Chapter 7 Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
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    Chapter 8 Constant Approximation Algorithms for Embedding Graph Metrics into Trees and Outerplanar Graphs
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    Chapter 9 Approximating Linear Threshold Predicates
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    Chapter 10 Approximating Sparsest Cut in Graphs of Bounded Treewidth
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    Chapter 11 On the Conditional Hardness of Coloring a 4-Colorable Graph with Super-Constant Number of Colors
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    Chapter 12 Vertex Sparsifiers: New Results from Old Techniques
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    Chapter 13 PTAS for Weighted Set Cover on Unit Squares
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    Chapter 14 Improved Lower Bounds for the Universal and a priori TSP
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    Chapter 15 Proximity Algorithms for Nearly-Doubling Spaces
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    Chapter 16 Matrix Sparsification and the Sparse Null Space Problem
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    Chapter 17 The Checkpoint Problem
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    Chapter 18 The Euclidean Distortion of Flat Tori
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    Chapter 19 Online Embeddings
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    Chapter 20 Approximation Algorithms for Intersection Graphs
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    Chapter 21 An O(logn)-Approximation Algorithm for the Disjoint Paths Problem in Eulerian Planar Graphs and 4-Edge-Connected Planar Graphs
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    Chapter 22 Improved Algorithm for the Half-Disjoint Paths Problem
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    Chapter 23 Approximate Lasserre Integrality Gap for Unique Games
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    Chapter 24 Exploiting Concavity in Bimatrix Games: New Polynomially Tractable Subclasses
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    Chapter 25 Maximum Flows on Disjoint Paths
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    Chapter 26 Approximation Algorithms for Reliable Stochastic Combinatorial Optimization
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    Chapter 27 How to Schedule When You Have to Buy Your Energy
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    Chapter 28 Improving Integrality Gaps via Chvátal-Gomory Rounding
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    Chapter 29 Uniform Derandomization from Pathetic Lower Bounds
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    Chapter 30 Testing Boolean Function Isomorphism
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    Chapter 31 Better Size Estimation for Sparse Matrix Products
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    Chapter 32 Low Rate Is Insufficient for Local Testability
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    Chapter 33 Reconstruction Threshold for the Hardcore Model
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    Chapter 34 Lower Bounds for Local Monotonicity Reconstruction from Transitive-Closure Spanners
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    Chapter 35 Monotonicity Testing and Shortest-Path Routing on the Cube
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    Chapter 36 Better Gap-Hamming Lower Bounds via Better Round Elimination
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    Chapter 37 Propagation Connectivity of Random Hypergraphs
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    Chapter 38 Improved Pseudorandom Generators for Depth 2 Circuits
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    Chapter 39 The Structure of Winning Strategies in Parallel Repetition Games
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    Chapter 40 Distribution-Free Testing Algorithms for Monomials with a Sublinear Number of Queries
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    Chapter 41 Periodicity in Streams
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    Chapter 42 Rumor Spreading on Random Regular Graphs and Expanders
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    Chapter 43 On Testing Computability by Small Width OBDDs
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    Chapter 44 Learning and Lower Bounds for AC 0 with Threshold Gates
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    Chapter 45 Liftings of Tree-Structured Markov Chains
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    Chapter 46 Constructive Proofs of Concentration Bounds
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    Chapter 47 Almost-Euclidean Subspaces of $\ell_1^N$ via Tensor Products: A Simple Approach to Randomness Reduction
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    Chapter 48 Testing Outerplanarity of Bounded Degree Graphs
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    Chapter 49 Two-Source Extractors Secure against Quantum Adversaries
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    Chapter 50 Locally Testable vs. Locally Decodable Codes
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    Chapter 51 Differential Privacy and the Fat-Shattering Dimension of Linear Queries
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    Chapter 52 Two Theorems on List Decoding
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    Chapter 53 Delaying Satisfiability for Random 2SAT
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    Chapter 54 Improved Rounding for Parallel Repeated Unique Games
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    Chapter 55 A Query Efficient Non-adaptive Long Code Test with Perfect Completeness
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    Chapter 56 Relativized Worlds without Worst-Case to Average-Case Reductions for NP
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    Chapter 57 A Quadratic Lower Bound for Three-Query Linear Locally Decodable Codes over Any Field
Attention for Chapter 9: Approximating Linear Threshold Predicates
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