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The behavior of depth functions of cover ideals of unimodular hypergraphs

The behavior of depth functions of cover ideals of unimodular hypergraphs

Authors :
Nguyen Thu Hang
Tran Nam Trung
Source :
Ark. Mat. 55, no. 1 (2017), 89-104
Publication Year :
2017
Publisher :
International Press of Boston, 2017.

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.

Details

ISSN :
18712487 and 00042080
Volume :
55
Database :
OpenAIRE
Journal :
Arkiv för Matematik
Accession number :
edsair.doi.dedup.....c75eee8a916ee09aaf8d2963bbc86df7
Full Text :
https://doi.org/10.4310/arkiv.2017.v55.n1.a4