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arXiv · 1206.1300

The Minor inequalities in the description of the Set Covering Polyhedron of Circulant Matrices

Silvia M. Bianchi·Graciela L. Nasini·Paola B. Tolomei
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Abstract

In this work we give a complete description of the set covering polyhedron of circulant matrices $C^k_{sk}$ with $s = 2,3$ and $k\geq 3 $ by linear inequalities. In particular, we prove that every non boolean facet defining inequality is associated with a circulant minor of the matrix. We also give a polynomial time separation algorithm for inequalities involved in the description.

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Silvia M. Bianchi, Graciela L. Nasini, Paola B. Tolomei. 2012-06-06. The Minor inequalities in the description of the Set Covering Polyhedron of Circulant Matrices. https://arxiv.org/abs/1206.1300

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