关于覆盖圆形矩阵多面体集合的面的Chvátal-rank

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

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引用次数: 0

摘要

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。

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

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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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.