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On the Relative Strength of Families of Intersection Cuts Arising from Pairs of Tableau Constraints in Mixed Integer Programs
(author(s): Yogesh Awate, Gerard Cornuejols, Bertrand Guenin, Levent Tuncel)
Mathematical Programming 150, 2015; 459-489
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Special Issue: International Symposium on Mathematical Programming, Pittsburgh, July 2015
(author(s): Gerard Cornuejols, Andrew Schaefer)
Mathematical Programming, 2015
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Integer Programming
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Springer, 2014
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Cut-Generating Functions and S-Free Sets
(author(s): Michele Conforti, Gerard Cornuejols, Aris Daniilidis, Claude Lemarechal, Jerome Malick)
Mathematics of Operations Research
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Sufficiency of Cut-Generating Functions
(author(s): Gerard Cornuejols, Sercan Yildiz)
Mathematical Programming
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On the Safety of Gomory Cut Generators
(author(s): Gerard Cornuejols, François Margot, Giacomo Nannicini)
Mathematical Programming Computation 5(4), 2013; 345-395
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Cutting Planes from Two-Term Disjunctions
(author(s): Pierre Bonami, Michele Conforti, Gerard Cornuejols, Marco Molinaro, Giacomo Zambelli)
Operations Research Letters 41, 2013; 442-444
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Extended Formulations in Combinatorial Optimization
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Annals of Operations Research 204, 2013; 97-143
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Lifting Gomory Cuts with Bounded Variables
(author(s): Gerard Cornuejols, Marco Molinaro, Tamas Kis)
Operations Research Letters 41, 2013; 142-146
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A 3-Slope Theorem for the Infinite Relaxation in the Plane
(author(s): Gerard Cornuejols, Marco Molinaro)
Mathematical Programming 142, 2013; 83-105
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Combining lift-and-project and reduce-and-split
(author(s): Egon Balas, Gerard Cornuejols, Tamas Kis, Giacomo Nannicini)
INFORMS Journal on Computing 25(3), 2013; 475-487
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Unique Lifting of Integer Variables in Minimal Inequalities
(author(s): Amitabh Basu, Manoel Campelo, Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Mathematical Programming 141, 2013; 561-576
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Cut-Generating Functions
(author(s): Michele Conforti, Gerard Cornuejols, Aris Daniilidis, Claude Lemarechal, Jerome Malick)
LNCS, Springer 7801, 2013; 123-132
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A Counterexample to a Conjecture of Gomory and Johnson
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Mathematical Programming A , 2012; 25-38
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How Tight is the Corner Relaxation? Insights Gained from the Stable Set Problem
(author(s): Gerard Cornuejols, Carla Michini, Giacomo Nannicini)
Discrete Optimization 9, 2012; 109-121
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Mixed Integer NonLinear Programs featuring "On/Off" Constraints: Convex Analysis and Applications
(author(s): Hassan Hijazi, Pierre Bonami, Gerard Cornuejols, Adam Ouorou)
Computational Optimization and Applications 52, 2012; 537-558
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Unique Minimal Liftings for Simplicial Polytopes
(author(s): Amitabh Basu, Gerard Cornuejols, Matthias Koeppe)
Mathematics of Operations Research 37, 2012; 346-355
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Intersection Cuts with Infinite Split Rank
(author(s): Amitabh Basu, Gerard Cornuejols, François Margot)
Mathematics of Operations Research 37, 2012; 21-40
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"On the Relative Strenght of Split, Triangle and Quadrilateral Cuts"Mathematical Programming
(author(s): Amitabh Basu, Pierre Bonami, Gerard Cornuejols, François Margot)
Mathematical Programming 126, 2011; 281-314
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Convex Sets And Minimal Sublinear Functions
(author(s): Amitabh Basu, Gerard Cornuejols, Giacomo Zambelli)
Journal of Convex Analysis 18(2), 2011; 427-432
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Corner Polyhedron and Intersection Cuts
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Surveys in Operations Research and Management Science 16, 2011; 105-120
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Improved Strategies for Branching on General Disjunctions
Mathematical Programming A 130, 2011; 225-247
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Practical Strategies for Generating Rank-1 Split Cuts in Mixed-Integer Linear Programming
Mathematical Programming Computation 3, 2011; 281-318
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Experiments With Two-Row Cuts From Degenerate Tableaux
(author(s): Amitabh Basu, Pierre Bonami, Gerard Cornuejols, François Margot)
Informs Journal On Computing 23(4), 2011; 578-590
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Combining Lift-and-Project and Reduce-and-Split
(author(s): Egon Balas, Gerard Cornuejols, Tamas Kis, Giacomo Nannicini)
INFORMS Journal on Computing, 2011
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Branching On General Disjunctions
(author(s): Miroslav Karamanov, Gerard Cornuejols)
Mathematical Programming 128(2-Jan), 2011; 403-436
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A Geometric Perspective On Lifting
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Operations Research 59(3), 2011; 569-577
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On The Relative Strength Of Split, Triangle And Quadrilateral Cuts (extended abstract)
(author(s): Amitabh Basu, Pierre Bonami, Gerard Cornuejols, François Margot)
SODA 2009, SIAM-ACM, 2011; 1220-1229
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Minimal Inequalities For An Infinite Relaxation Of Integer Programs
(author(s): Amitabh Basu, Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Siam Journal On Discrete Mathematics 24(1), 2010; 158-168
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Maximal Lattice-Free Convex Sets In Linear Subspaces
(author(s): Amitabh Basu, Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Mathematics Of Operations Research 35(3), 2010; 704-720
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Equivalence Between Intersection Cuts And The Corner Polyhedron
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Operations Research Letters 38(3), 2010; 153-155
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Extended Formulations In Combinatorial Optimization
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
4Or-A Quarterly Journal Of Operations Research 8(1), 2010
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Stable Sets, Corner Polyhedra And The Chvatal Closure
(author(s): Manoel Campelo, Gerard Cornuejols)
Operations Research Letters 37(6), 2009; 375-378
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On The Facets Of Mixed Integer Programs With Two Integer Variables And Two Constraints
(author(s): Gerard Cornuejols, François Margot)
Mathematical Programming 120(2), 2009; 429-456
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Minimal Valid Inequalities For Integer Constraints
(author(s): Valentin Borozan, Gerard Cornuejols)
Mathematics Of Operations Research 34(3), 2009; 538-546
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A Feasibility Pump For Mixed Integer Nonlinear Programs
(author(s): Pierre Bonami, Gerard Cornuejols, Andrea Lodi, François Margot)
Mathematical Programming 119(2), 2009; 331-352
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Lehman Matrices
(author(s): Gerard Cornuejols, Bertrand Guenin, Levent Tuncel)
Journal Of Combinatorial Theory Series B 99(3), 2009; 531-556
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Projected Chvatal-Gomory Cuts For Mixed Integer Linear Programs
(author(s): Pierre Bonami, Gerard Cornuejols, Sanjeeb Dash, Matteo Fischetti, Andrea Lodi)
Mathematical Programming 113(2), 2008; 241-257
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An Algorithmic Framework For Convex Mixed Integer Nonlinear Programs
(author(s): Pierre Bonami, Lorenz T. Biegler, Andrew R. Conna, Gerard Cornuejols, Ignacio E. Grossmann, Carl D. Laird, Jon Lee, Andrea Lodi, François Margot, Nicolas Sawaya, Andreas Wachter)
Discrete Optimization 5(2), 2008; 186-204
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Valid Inequalities For Mixed Integer Linear Programs
Mathematical Programming 112(1), 2008
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A Note On The Mir Closure
(author(s): Pierre Bonami, Gerard Cornuejols)
Operations Research Letters 36(1), 2008
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Revival Of The Gomory Cuts In The 1990'S
Annals Of Operations Research 149(1), 2007; 63-66
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Decomposing Berge Graphs Containing No Proper Wheel, Long Prism Or Their Complements
(author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
Combinatorica 26(5), 2006; 533-558
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Odd Hole Recognition In Graphs Of Bounded Clique Size
(author(s): M Conforti, Gerard Cornuejols, XM Liu, K Vuskovic, G Zambelli)
Siam Journal On Discrete Mathematics 20(1), 2006; 42-48
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Balanced Matrices
(author(s): Michele Conforti, Gerard Cornuejols, Kristina Vuskovic)
Discrete Mathematics 306(19-20), 2006; 2411-2437
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A Convex-Analysis Perspective On Disjunctive Cuts
(author(s): Gerard Cornuejols, C Lemarechal)
Mathematical Programming 106(3), 2006; 567-586
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Early Estimates Of The Size Of Branch-And-Bound Trees
(author(s): Gerard Cornuejols, M Karamanov, YJ Li)
Informs Journal On Computing 18(1), 2006; 86-96
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Recognizing Berge Graphs
(author(s): M Chudnovsky, Gerard Cornuejols, XM Liu, P Seymour, K Vuskovic)
Combinatorica 25(2), 2005; 143-186
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Reduce-And-Split Cuts: Improving The Performance Of Mixed-Integer Gomory Cuts
(author(s): K Andersen, Gerard Cornuejols, YJ Li)
Management Science 51(11), 2005; 1720-1732
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Split Closure And Intersection Cuts
(author(s): K Andersen, Gerard Cornuejols, YJ Li)
Mathematical Programming 102(3), 2005; 457-493
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The Packing Property
(author(s): Gerard Cornuejols, B Guenin, François Margot)
Mathematical Programming 89(1), 2000; 113-126
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The Packing Property
(author(s): Gerard Cornuejols, B Guenin, François Margot)
Integer Programming And Combinatorial Optimization 1412, 1998; 8-Jan
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Gomory Cuts Revisited
(author(s): Egon Balas, S Ceria, Gerard Cornuejols, N Natraj)
Operations Research Letters 19(1), 1996