2013•arXiv (Cornell University)Open access
Minkowski sum of edge polytopes and its normality
Akihiro Higashitani
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Abstract
In this paper, we study the problem when the Minkowski sum of edge polytopes is normal or has the integer decomposition property. We prove that the normality of Minkowski sum of edge polytopes is equivalent to its integer decomposition property under some suitable conditions. We also give a sufficient condition for Minkowski sum of edge polytopes to be normal.