Integer Programming and Algorithmic Geometry of Numbers

Friedrich Eisenbrand ()
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Friedrich Eisenbrand: EPFL, Department of Mathematics

Chapter Chapter 14 in 50 Years of Integer Programming 1958-2008, 2010, pp 505-559 from Springer

Abstract: Abstract This chapter surveys a selection of results from the interplay of integer programming and the geometry of numbers. Apart from being a survey, the text is also intended as an entry point into the field. I therefore added exercises at the end of each section to invite the reader to delve deeper into the presented material.

Keywords: Convex Body; Integer Point; Lattice Basis; Short Vector; Integer Optimization Problem (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-540-68279-0_14

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