293 citations · 737 across the 36 of their papers we have counts for
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math.AC2012★ 28 cited
Generalized Binomial Edge Ideals
Johannes Rauh
This paper studies a class of binomial ideals associated to graphs with finite vertex sets. They generalize the binomial edge ideals, and they arise in the study of conditional ind…
math.AC2012★ 16 cited
Prime splittings of Determinantal Ideals
Fatemeh Mohammadi, Johannes Rauh
We consider determinantal ideals, where the generating minors are encoded in a hypergraph. We study when the generating minors form a Gröbner basis. In this case, the ideal is radi…
math.AC2012★ 11 cited
Positive margins and primary decomposition
Thomas Kahle, Johannes Rauh, Seth Sullivant
We study random walks on contingency tables with fixed marginals, corresponding to a (log-linear) hierarchical model. If the set of allowed moves is not a Markov basis, then there…