English

Monomial cut ideals

Commutative Algebra 2011-05-19 v1 Combinatorics

Abstract

B. Sturmfels and S. Sullivant associated to any graph a toric ideal, called the cut ideal. We consider monomial cut ideals and we show that their algebraic properties such as the minimal primary decomposition, the property of having a linear resolution or being Cohen--Macaulay may be derived from the combinatorial structure of the graph.

Keywords

Cite

@article{arxiv.1105.3564,
  title  = {Monomial cut ideals},
  author = {Anda Olteanu},
  journal= {arXiv preprint arXiv:1105.3564},
  year   = {2011}
}
R2 v1 2026-06-21T18:08:57.264Z