Cutting Planes and Integrality of Polyhedra: Structure and Complexity
thesisposted on 20.08.2019 by Dabeen Lee
In order to distinguish essays and pre-prints from academic theses, we have a separate category. These are often much longer text based documents than a paper.
In this thesis, we study theoretical aspects of integer linear programming. This thesis consists of two main parts: the first part is on the theory of cutting planes for integer linear programming, while the second part is on the theory of ideal clutters in combinatorial optimization.Cutting planes for an integer linear program are linear inequalities that are valid for all integer feasible solutions but possibly violated by some solutions to the linear programming relaxation.
DepartmentTepper School of Business
- Doctor of Philosophy (PhD)