On the Chvátal-rank of facets for the set covering polyhedron of circular matrices

Q2 Mathematics Electronic Notes in Discrete Mathematics Pub Date : 2018-08-01 DOI:10.1016/j.endm.2018.07.012

Graciela Nasini, Luis M. Torres, Hervé Kerivin, Annegret Wagler

引用次数: 0

Abstract

We study minor related row family inequalities for the set covering polyhedron of circular matrices. We address the issue of generating these inequalities via the Chvátal-Gomory procedure and establish a general upper bound for their Chvátal-rank. Moreover, we provide a construction to obtain facets with arbitrarily large coefficients and examples of facets having Chvátal-rank strictly larger than one.

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关于覆盖圆形矩阵多面体集合的面的Chvátal-rank

研究了覆盖圆形矩阵多面体的集合的次要相关行族不等式。我们通过Chvátal-Gomory过程解决了产生这些不等式的问题，并建立了它们Chvátal-rank的一般上界。此外，我们还提供了一个构造来获得具有任意大系数的面，以及Chvátal-rank严格大于1的面的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

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