Projective Dimension of String and Cycle Hypergraphs
arXiv:1309.7948
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.
Added a couple of intermediate results in Section 2. 23 pages, includes 12 figures and 2 tables. Comments are welcome!