The universal Gröbner basis of a binomial edge ideal
arXiv:1601.04575 · doi:10.37236/5912
Abstract
We show that the universal Gröbner 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.
12 pages, 1 figure, v2: added introduction, updated layout, fixed several typos, added examples, standardised notation, changed references