Author:
Badiane Mourtadha,Burke Isaac,Sköldberg Emil
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.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
4 articles.
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1. Cohen–Macaulay binomial edge ideals and accessible graphs;Journal of Algebraic Combinatorics;2021-11-19
2. Gorenstein binomial edge ideals;Mathematische Nachrichten;2021-09-02
3. Binomial Edge Ideals: A Survey;Springer Proceedings in Mathematics & Statistics;2018
4. Binomial Edge Ideals and Related Ideals;Binomial Ideals;2018