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Cutting Planes and Integrality of Polyhedra: Structure and Complexity

descriptionPublicationkeyboard_double_arrow_right Thesis 01 Jan 2019Publisher:Carnegie Mellon University
Authors: Dabeen Lee;

doi: 10.1184/r1/9540113.v1 , 10.1184/r1/9540113

Cutting Planes and Integrality of Polyhedra: Structure and Complexity

Abstract

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.

Keywords

FOS: Computer and information sciences, 80201 Analysis of Algorithms and Complexity

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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