Projective dimension and regularity of the path ideal of the line graph
Commutative Algebra
2016-10-27 v2
Abstract
By generalizing the notion of the path ideal of a graph, we study some algebraic properties of some path ideals associated to a line graph. We show that the quotient ring of these ideals are always sequentially Cohen-Macaulay and also provide some exact formulas for the projective dimension and the regularity of these ideals. As some consequences, we give some exact formulas for the depth of these ideals.
Cite
@article{arxiv.1610.02958,
title = {Projective dimension and regularity of the path ideal of the line graph},
author = {Guangjun Zhu},
journal= {arXiv preprint arXiv:1610.02958},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:0902.0902 by other authors