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Set Covering Polytope. II. Lifting the Facets with Coefficients in (0,1,2). Revision

机译:设置覆盖多面体。 II。用(0,1,2)中的系数提升小平面。调整

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摘要

An earlier paper characterized the class of facets of the set covering polytope defined by inequalities with coefficients equal to 0, 1 or 2. This paper connects that characterization to the theory of facet lifting. In particular, a family of lower dimensional polytopes and associated inequalities is introduced having only three nonzero coefficients, whose lifting yields all the valid inequalities in the above class, with the lifting coefficients given by closed form expressions. Keywords: Matrices(Mathematics). (jhd)

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