Saturation and associated primes of powers of edge ideals
Commutative Algebra
2014-12-01 v1
Abstract
For the edge ideal I of an arbitrary simple graph G we describe the monomials of the saturation of a power of I in terms of (vertex) weighted graphs associated with the monomials. This description allows us to characterize the embedded associated primes of a power of I as covers of G which contain certain types of subgraphs of G. As an application, we completely classify the associated primes of the second and the third power of I in terms of G.
Keywords
Cite
@article{arxiv.1411.7740,
title = {Saturation and associated primes of powers of edge ideals},
author = {Ha Thi Thu Hien and Ha Minh Lam and Ngo Viet Trung},
journal= {arXiv preprint arXiv:1411.7740},
year = {2014}
}
Comments
16 pages, 2 figures