The behavior of depth functions of cover ideals of unimodular hypergraphs

Nguyen Thu Hang Thai Nguyen University Tran Nam Trung VAST

Rings and Algebras mathscidoc:1803.43010

Arkiv for Matematik, 55, 2017
We prove that the cover ideals of all unimodular hypergraphs have the nonincreasing depth function property. Furthermore, we show that the index of depth stability of these ideals is bounded by the number of variables.
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@inproceedings{nguyen2017the,
  title={The behavior of depth functions of cover ideals of unimodular hypergraphs},
  author={Nguyen Thu Hang, and Tran Nam Trung},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301154744124342945},
  booktitle={Arkiv for Matematik},
  volume={55},
  year={2017},
}
Nguyen Thu Hang, and Tran Nam Trung. The behavior of depth functions of cover ideals of unimodular hypergraphs. 2017. Vol. 55. In Arkiv for Matematik. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301154744124342945.
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