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math.OC2012★ 1 cited
On the convergence of the affine hull of the Chvátal-Gomory closures
Gennadiy Averkov, Michele Conforti, Alberto Del Pia +2
Given an integral polyhedron P and a rational polyhedron Q living in the same n-dimensional space and containing the same integer points as P, we investigate how many iterations of…
math.AG2012
Constructive proofs of some positivstellensätze for compact semialgebraic subsets of
Gennadiy Averkov
In a broad sense, positivstellensätze are results about representations of polynomials which are strictly positive on a given set. We give constructive and, to a large extent, elem…