Graded Betti numbers of path ideals of cycles and lines
Commutative Algebra
2017-03-09 v3
Abstract
We use purely combinatorial arguments to give a formula to compute all graded Betti numbers of path ideals of line graphs and cycles. As a consequence we can give new and short proofs for the known formulas of regularity and projective dimensions of path ideals of line graphs.
Keywords
Cite
@article{arxiv.1110.6653,
title = {Graded Betti numbers of path ideals of cycles and lines},
author = {Ali Alilooee and Sara Faridi},
journal= {arXiv preprint arXiv:1110.6653},
year = {2017}
}