Powers of edge ideals
Commutative Algebra
2011-12-01 v2 Combinatorics
Abstract
We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti-path, we prove that they have linear quotients and we characterize the normally torsion-free ideals. We determine a class of non-squarefree ideals, arising from some particular graphs, which are normally torsion-free.
Cite
@article{arxiv.1111.6157,
title = {Powers of edge ideals},
author = {Carmela Ferro and Mariella Murgia and Oana Olteanu},
journal= {arXiv preprint arXiv:1111.6157},
year = {2011}
}