Projective Dimension of String and Cycle Hypergraphs
Commutative Algebra
2014-05-09 v2 Combinatorics
Abstract
We present a closed formula and a simple algorithmic procedure to compute the projective dimension of square-free monomial ideals associated to string or cycle hypergraphs. As an application, among these ideals we characterize all the Cohen-Macaulay ones.
Cite
@article{arxiv.1309.7948,
title = {Projective Dimension of String and Cycle Hypergraphs},
author = {Kuei-Nuan Lin and Paolo Mantero},
journal= {arXiv preprint arXiv:1309.7948},
year = {2014}
}
Comments
Added a couple of intermediate results in Section 2. 23 pages, includes 12 figures and 2 tables. Comments are welcome!