65 citations · 313 across the 28 of their papers we have counts for
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math.AC2010★ 3 cited
Equality of Graver bases and universal Gröbner bases of colored partition identities
Tristram Bogart, Raymond Hemmecke, Sonja Petrović
Associated to any vector configuration A is a toric ideal encoded by vectors in the kernel of A. Each toric ideal has two special generating sets: the universal Gröbner basis and t…
math.AC2009
Reconstructing biochemical cluster networks
Utz-Uwe Haus, Raymond Hemmecke, Sebastian Pokutta
Motivated by fundamental problems in chemistry and biology we study cluster graphs arising from a set of initial states and a set of transitions/reactions $M\sub…
math.AC2007★ 6 cited
On the Gröbner complexity of matrices
Raymond Hemmecke, Kristen A. Nairn
In this paper we show that if for an integer matrix A the universal Gröbner basis of the associated toric ideal \Ideal_A coincides with the Graver basis of A, then the Gröbner comp…