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math.CO2008★ 11 cited
Hilbert's Nullstellensatz and an Algorithm for Proving Combinatorial Infeasibility
J. A. De Loera, J. Lee, P. Malkin +1
Systems of polynomial equations over an algebraically-closed field K can be used to concisely model many combinatorial problems. In this way, a combinatorial problem is feasible (e…
math.CO2005★ 15 cited
Computing generating sets of lattice ideals
Raymond Hemmecke, Peter Malkin
In this article, we present a new algorithm for computing a generating set of a lattice ideal. This algorithm is based on a project-and-lift approach and is implemented in 4ti2. We…