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- W4243745963 abstract "Previous chapter Next chapter Full AccessProceedings Proceedings of the 2010 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)Testing additive integrality gapsFriedrich Eisenbrand, Nicolai Hähnle, Dömötör Pálvölgyi, and Gennady ShmoninFriedrich Eisenbrand, Nicolai Hähnle, Dömötör Pálvölgyi, and Gennady Shmoninpp.1227 - 1234Chapter DOI:https://doi.org/10.1137/1.9781611973075.98PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstract We consider the problem of testing whether the maximum additive integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed as a generalization of the integer rounding property, which can be tested in polynomial time if the number of constraints is fixed. It turns out that this generalization is NP-hard even if the number of constraints is fixed. However, if, in addition, the objective is the all-one vector, then one can test in polynomial time whether the additive gap is bounded by a constant. Previous chapter Next chapter RelatedDetails Published:2010ISBN:978-0-89871-701-3eISBN:978-1-61197-307-5 https://doi.org/10.1137/1.9781611973075Book Series Name:ProceedingsBook Code:PR135Book Pages:xviii + 1667" @default.
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- W4243745963 date "2010-01-17" @default.
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- W4243745963 title "Testing additive integrality gaps" @default.
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