Author:
Crupi Marilena,Rinaldo Giancarlo
Abstract
We prove that a binomial edge ideal of a graph $G$ has a quadratic Gröbner basis with respect to some term order if and only if the graph $G$ is closed with respect to a given labelling of the vertices. We also state some criteria for the closedness of a graph $G$ that do not depend on the labelling of its vertex set.
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
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Closed binomial edge ideals;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-08-30
2. Rees algebra and special fiber ring of binomial edge ideals of closed graphs;Illinois Journal of Mathematics;2022-04-01
3. Gorenstein binomial edge ideals;Mathematische Nachrichten;2021-09-02
4. Regularity of binomial edge ideals of certain block graphs;Proceedings - Mathematical Sciences;2019-04-20
5. Koszul binomial edge ideals of pairs of graphs;Journal of Algebra;2018-12