The universal Gr\"obner basis of a binomial edge ideal
Commutative Algebra
2020-04-08 v2
Abstract
We show that the universal Gr\"obner basis and the Graver basis of a binomial edge ideal coincide. We provide a description for this basis set in terms of certain paths in the underlying graph. We conjecture a similar result for a parity binomial edge ideal and prove this conjecture for the case when the underlying graph is the complete graph.
Cite
@article{arxiv.1601.04575,
title = {The universal Gr\"obner basis of a binomial edge ideal},
author = {Mourtadha Badiane and Isaac Burke and Emil Sköldberg},
journal= {arXiv preprint arXiv:1601.04575},
year = {2020}
}
Comments
12 pages, 1 figure, v2: added introduction, updated layout, fixed several typos, added examples, standardised notation, changed references