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The universal Gr\"obner basis of a binomial edge ideal by Badiane, Mourtadha; Burke, Isaac; Sköldberg, Emil is a scholarly article available to read on EtoBox.

What is The universal Gr\"obner basis of a binomial edge ideal about?

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.

Author

Badiane, Mourtadha; Burke, Isaac; Sköldberg, Emil

Published

2016

Language

EN