Binomial Edge Ideals with Quadratic Gröbner Bases
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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.
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2011 ◽
Vol 48
(4)
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pp. 458-474
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2010 ◽
Vol 13
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pp. 111-129
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2015 ◽
Vol 4
(2)
◽
pp. 1-14
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2018 ◽
Vol 28
(04)
◽
pp. 553-571
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