On the cover ideals of chordal graphs
Commutative Algebra
2020-03-03 v1 Combinatorics
Abstract
The independence complex of a chordal graph is known to be shellable due to a result of Van Tuyl and Villarreal. This is equivalent to the fact that cover ideal of a chordal graph has linear quotients. We use this result to obtain recursive formulas for the Betti numbers of cover ideals of chordal graphs. Also, we give a new proof of their result which yields different shellings of the independence complex.
Keywords
Cite
@article{arxiv.1906.12144,
title = {On the cover ideals of chordal graphs},
author = {Nursel Erey},
journal= {arXiv preprint arXiv:1906.12144},
year = {2020}
}