Koszul binomial edge ideals of pairs of graphs
Commutative Algebra
2018-07-27 v2 Combinatorics
Abstract
We study the Koszul property of a standard graded -algebra defined by the binomial edge ideal of a pair of graphs . We show that the following statements are equivalent: (i) is Koszul; (ii) the defining ideal of has a quadratic Gr\"obner basis; (iii) the graded maximal ideal of has linear quotients with respect to a suitable order of its generators
Keywords
Cite
@article{arxiv.1702.07316,
title = {Koszul binomial edge ideals of pairs of graphs},
author = {Herolistra Baskoroputro and Viviana Ene and Cristian Ion},
journal= {arXiv preprint arXiv:1702.07316},
year = {2018}
}