Integer Programming and Combinatorial Optimization - Info and Reading Options

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Intro -- Preface -- Organization -- Contents -- The Two-Point Fano and Ideal Binary Clutters -- 1 Introduction -- 2 Preliminaries and the Main Theorem -- 2.1 Minimally Non-ideal Binary Clutters -- 2.2 Signed Matroids -- 2.3 Hubs and the Main Theorem -- 3 Proof of Theorem 9 Part (1) -- 4 Hypergraphs, the Trifold, and Graphic Hubs -- 5 Proof of Theorem 9 Part (2) -- 6 Non-graphic Strict Hubs -- 7 A Sketch of the Proof of Theorem 9 Part (3) -- References -- On Scheduling Coflows -- 1 Introduction -- 1.1 Related Work -- 1.2 Our Contributions -- 1.3 Connection to Concurrent Open Shop -- 2 Preliminaries -- 2.1 Scheduling a Single Coflow -- 2.2 Linear Programming Relaxation -- 3 High Level Ideas -- 4 Approximation Algorithm for Coflow Scheduling with Release Times -- 4.1 Finding a Permutation of Coflows Using a Primal Dual Algorithm -- 4.2 Scheduling Coflows According to a Permutation -- 5 Analysis -- 5.1 Coflows with Zero Release Times -- 5.2 Coflows with Arbitrary Release Times -- 5.3 Analyzing the Primal-Dual Algorithm -- 6 An Alternative Approach Using LP Rounding -- References -- Integrality Gaps of Integer Knapsack Problems -- 1 Introduction -- 2 Coverings and Frobenius Numbers -- 3 Proof of Theorem 1 -- 4 Proof of Theorem 2 -- 5 Proof of Theorem 3 -- 6 Proof of Corollary 4 -- References -- An Improved Integrality Gap for the Călinescu-Karloff-Rabani Relaxation for Multiway Cut -- 1 Introduction -- 1.1 Our Contributions -- 2 Preliminaries and Notation -- 3 A Lower Bound on 3, n* -- 3.1 A Characterization of Non-opposite Cuts of 3, n -- 3.2 The Integrality Gap -- 4 Proof of the Main Theorem -- 4.1 An Integrality Gap for k, n from 3, n -- 4.2 The Final Integrality Gap -- 5 Conclusion -- References -- Approximation of Corner Polyhedra with Families of Intersection Cuts -- 1 Introduction -- 2 Summary of Results -- 3 The f-metric

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