Classes of cut ideals and their Betti numbers
Commutative Algebra
2021-12-09 v1
Abstract
We study monomial cut ideals associated to a graph , which are a monomial analogue of toric cut ideals as introduced by Sturmfels and Sullivant. Primary decompositions, projective dimensions, and Castelnuovo-Mumford regularities are investigated if the graph can be decomposed as -clique sums and disjoint union of subgraphs. The total Betti numbers of a cycle are computed. Moreover, we classify all Freiman ideals among monomial cut ideals.
Keywords
Cite
@article{arxiv.2112.04239,
title = {Classes of cut ideals and their Betti numbers},
author = {Jürgen Herzog and Masoomeh Rahimbeigi and Tim Römer},
journal= {arXiv preprint arXiv:2112.04239},
year = {2021}
}