Computing convex hulls and counting integer points with polymake

  • The main purpose of this paper is to report on the state of the art of computing integer hulls and their facets as well as counting lattice points in convex polytopes. Using the polymake system we explore various algorithms and implementations. Our experience in this area is summarized in ten “rules of thumb”.

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Metadaten
Author:Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz, Thomas Rehn
DOI:https://doi.org/10.1007/s12532-016-0104-z
ISSN:1867-2949
Parent Title (English):Mathematical Programming Computation
Publisher:Springer Science and Business Media LLC
Document Type:Article
Language:English
Year of Completion:2016
Tag:Software; Theoretical Computer Science
Volume:9
Issue:1
Page Number:38
First Page:1
Last Page:38
Mathematical Programming Computation :MPC 2017 - Issue 1
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