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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
- 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.
- Subjects :
- Discrete mathematics
13A15
13C13
Property (philosophy)
cover ideals
Mathematics::Commutative Algebra
General Mathematics
010102 general mathematics
010103 numerical & computational mathematics
Depth function
depth function
01 natural sciences
Stability (probability)
Combinatorics
Unimodular matrix
Bounded function
Cover (algebra)
0101 mathematics
powers of ideals
Mathematics
Subjects
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