Abstract
We prove that the cover ideals of all unimodular hypergraphs have the non-increasing depth function property. Furthermore, we show that the index of depth stability of these ideals is bounded by the number of variables.
Funding Statement
This work is partially supported by NAFOSTED (Vietnam) under the grant number 101.04-2015.02. The first author is also partially supported by Thai Nguyen university of Science under the grant number ÐH2016-TN06-03.
Citation
Nguyen Thu Hang. Tran Nam Trung. "The behavior of depth functions of cover ideals of unimodular hypergraphs." Ark. Mat. 55 (1) 89 - 104, September 2017. https://doi.org/10.4310/ARKIV.2017.v55.n1.a4
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