Minkowski sum of polytopes and its normality
Minkowski sum of polytopes and its normality
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DOI：
10.2969/jmsj/06831147
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发表时间：
2013-12
期刊：
影响因子：
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通讯作者：
A. Higashitani
中科院分区：
文献类型：
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作者：
A. Higashitani
本文研究了整凸多边形Minkowski和的正态性或整数分解性质（IDP）。讨论了与整凸多边形Minkowski和相关的环上的一些性质。研究了边多边形的Minkowski和，给出了边多边形Minkowski和具有IDP的充分条件。
In this paper, we consider the normality or the integer decomposition property (IDP, for short) for Minkowski sums of integral convex polytopes. We discuss some properties on the toric rings associated with Minkowski sums of integral convex polytopes. We also study Minkowski sums of edge polytopes and give a sufficient condition for Minkowski sums of edge polytopes to have IDP.