English

On the resolution of path ideals of cycles

Commutative Algebra 2013-05-09 v1

Abstract

We give a formula to compute all the top degree graded Betti numbers of the path ideal of a cycle. Also we will find a criterion to determine when Betti numbers of this ideal are non zero and give a formula to compute its projective dimension and regularity.

Keywords

Cite

@article{arxiv.1305.1651,
  title  = {On the resolution of path ideals of cycles},
  author = {Ali Alilooee and Sara Faridi},
  journal= {arXiv preprint arXiv:1305.1651},
  year   = {2013}
}