Koszul binomial edge ideals
Commutative Algebra
2013-10-25 v1
Abstract
It is shown that if the binomial edge ideal of a graph defines a Koszul algebra, then must be chordal and claw free. A converse of this statement is proved for a class of chordal and claw free graphs.
Keywords
Cite
@article{arxiv.1310.6426,
title = {Koszul binomial edge ideals},
author = {Viviana Ene and Jürgen Herzog and Takayuki Hibi},
journal= {arXiv preprint arXiv:1310.6426},
year = {2013}
}