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Polyhedral convexity cuts and negative edge extensions

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Abstract

This note shows that convexity cuts defined relative to polyhedral convex sets can utilize negative as well as positive edge extensions under appropriate circumstances, yielding stronger cuts than customarily available. We also show how to partially collapse the polyhedron to further improve these cuts.

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Management Science Report Series, Report No. 73-6.

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Glover, F. Polyhedral convexity cuts and negative edge extensions. Zeitschrift für Operations Research 18, 181–186 (1974). https://doi.org/10.1007/BF02026599

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  • DOI: https://doi.org/10.1007/BF02026599

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