Arkiv för Matematik
Volume 55 (2017)
The behavior of depth functions of cover ideals of unimodular hypergraphs
Pages: 89 – 104
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.
depth function, cover ideals, powers of ideals
2010 Mathematics Subject Classification
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.
Received 14 January 2016
Published 26 September 2017