English

An alternative algorithm for computing the Betti table of a monomial ideal

Commutative Algebra 2015-07-29 v2

Abstract

In this paper we develop a new technique to compute the Betti table of a monomial ideal. We present a prototype implementation of the resulting algorithm and we perform numerical experiments suggesting a very promising efficiency. On the way of describing the method, we also prove new constraints on the shape of the possible Betti tables of a monomial ideal.

Keywords

Cite

@article{arxiv.1507.01183,
  title  = {An alternative algorithm for computing the Betti table of a monomial ideal},
  author = {Maria-Laura Torrente and Matteo Varbaro},
  journal= {arXiv preprint arXiv:1507.01183},
  year   = {2015}
}

Comments

Minor changes, especially the addition of reference [Ya15]

R2 v1 2026-06-22T10:05:49.700Z