Chva´tal closures for mixed integer programming problems
Mathematical Programming: Series A and B
Split closure and intersection cuts
Mathematical Programming: Series A and B
MIR closures of polyhedral sets
Mathematical Programming: Series A and B
Minimal Valid Inequalities for Integer Constraints
Mathematics of Operations Research
A counterexample to a conjecture of Gomory and Johnson
Mathematical Programming: Series A and B
A constructive characterization of the split closure of a mixed integer linear program
Operations Research Letters
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Intersection cuts were introduced by Balas and the corner polyhedron by Gomory. Balas showed that intersection cuts are valid for the corner polyhedron. In this paper we show that, conversely, every nontrivial facet-defining inequality for the corner polyhedron is an intersection cut.