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Computation of Hilbert Bases

Student-Run Research Seminar

Speaker: Raymond Hemmecke, UC Davis
Location: 593 Kerr
Start time: Wed, Oct 10 2001, 12:00PM

In this talk we present a novel project-and-lift approach to compute the minimal Hilbert basis of the semigroup of non-negative integer solutions to a homogeneous system of linear equations. The lifting is done via a Buchberger type (completion) algorithm. We present some examples, combinatorial applications, and computational experience.