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On the set covering polytope: Facets with coefficients in {0, 1, 2, 3}

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1998

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Springer
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M. Sánchez-García, M.I. Sobrón, B. Vitoriano: [No title found]. Annals of Operations Research. 81, 343-356 (1998). https://doi.org/10.1023/A:1018969410431

Abstract

Balas and Ng [1,2] characterized the class of valid inequalities for the set covering polytope with coefficients equal to 0, 1 or 2, and gave necessary and sufficient conditions for such an inequality to be facet defining. We extend this study, characterizing the class of valid inequalities with coefficients equal to 0, 1, 2 or 3, and giving necessary and sufficient conditions for such an inequality to be not dominated, and to be facet defining.

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