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arXiv · 1105.4322

Centrally symmetric configurations of integer matrices

Hidefumi Ohsugi·Takayuki Hibi
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Abstract

The concept of centrally symmetric configurations of integer matrices is introduced. We study the problem when the toric ring of a centrally symmetric configuration is normal as well as is Gorenstein. In addition, Gr\"obner bases of toric ideals of centrally symmetric configurations will be discussed. Special attentions will be given to centrally symmetric configurations of unimodular matrices and those of incidence matrices of finite graphs.

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Hidefumi Ohsugi, Takayuki Hibi. 2011-05-22. Centrally symmetric configurations of integer matrices. https://doi.org/10.1215/00277630-2857555

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