Integer Programming and Combinatorial Optimization - Info and Reading Options

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Intro -- Preface -- Organization -- Contents -- Identically Self-blocking Clutters -- 1 The Main Result -- 2 Gauge Duality -- 3 Lower Bounding the Packing Number -- 4 Cuboids -- 5 Bypassing Gauge Duality -- 6 Concluding Remarks -- References -- Min-Max Correlation Clustering via MultiCut -- 1 Introduction -- 2 Results and High Level Ideas -- 2.1 High Level Ideas -- 3 Min-Max Multicut -- 3.1 SDP Relaxation -- 3.2 Approximation Algorithm -- 3.3 Analysis -- 3.4 Covering and Aggregation -- A Missing Proofs -- A.1 Proof of Lemma 2 -- A.2 Proof of Theorem 6 -- A.3 Proof of Theorem7 -- References -- Strong Mixed-Integer Programming Formulations for Trained Neural Networks -- 1 Introduction -- 1.1 MIP Formulation Preliminaries -- 1.2 Relevant Prior Work -- 1.3 Starting Assumptions and Notation -- 2 The ReLU Neuron -- 2.1 A Big-M Formulation -- 2.2 An Ideal Extended Formulation -- 2.3 An Ideal Non-extended Formulation -- 3 Computational Experiments -- 3.1 Small ReLU Network -- 3.2 Larger ReLU Network -- A Deferred Proofs -- A.1 Proof of Proposition1 -- A.2 Proof of Proposition2 -- References -- Extended Formulations from Communication Protocols in Output-Efficient Time -- 1 Introduction -- 2 Preliminaries -- 3 A General Approach -- 4 Direct Derivations -- 5 Further Applications and Extensions -- References -- Sub-Symmetry-Breaking Inequalities for ILP with Structured Symmetry -- 1 Introduction -- 2 Sub-Symmetry-Breaking Inequalities -- 2.1 Definition and Validity of Sub-Symmetry-Breaking Inequalities -- 2.2 Full Symmetry-Breaking Sufficient Condition -- 3 Application to the Symmetric Group Case -- 4 Application to the Graph Coloring Problem -- 5 Application to the Unit Commitment Problem -- 5.1 Sub-Symmetry-Breaking Inequalities for the RMUCP -- 5.2 Experimental Results -- 6 Perspectives -- A RMUCP Instances

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