Computing convex hulls and counting integer points with polymake

Computing convex hulls and counting integer points with polymake
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DOI:
10.1007/s12532-016-0104-z
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发表时间:
2017-03-01
影响因子:
6.3
通讯作者:
Rehn, Thomas
Rehn, Thomas
中科院分区:
数学2区
文献类型:
--
作者:
Assarf, Benjamin;Gawrilow, Ewgenij;Rehn, Thomas

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本文的主要目的是报告计算整数船体及其方面的艺术状态,并计算凸多属性的晶格点。使用Polymake系统,我们探索各种算法和实现。我们在这一领域的经验总结了十个“经验法则”。
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".