181 citations · 620 across the 171 of their papers we have counts for
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math.AC2009★ 7 cited
Border bases and order ideals: a polyhedral characterization
Gábor Braun, Sebastian Pokutta
Border bases arise as a canonical generalization of Gröbner bases. We provide a polyhedral characterization of all order ideals (and hence border bases) that are supported by a zer…
math.AC2009★ 3 cited
A polyhedral approach to computing border bases
Gábor Braun, Sebastian Pokutta
Border bases can be considered to be the natural extension of Gröbner bases that have several advantages. Unfortunately, to date the classical border basis algorithm relies on (deg…
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…