English

Vertex cover algebras of unimodular hypergraphs

Commutative Algebra 2007-05-23 v1 Combinatorics

Abstract

It is proved that all vertex cover algebras of a hypergraph are standard graded if and only if the hypergraph is unimodular. This has interesting consequences on the symbolic powers of monomial ideals.

Keywords

Cite

@article{arxiv.math/0703577,
  title  = {Vertex cover algebras of unimodular hypergraphs},
  author = {Jurgen Herzog and Takayuki Hibi and Ngo Viet Trung},
  journal= {arXiv preprint arXiv:math/0703577},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T17:52:56.423Z