FACETS IN THE CROSSING NUMBER POLYTOPE

被引：2
|
作者：
Chimani, Markus [1 ]
机构：
[1] Univ Jena, Jena, Germany
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2011年 / 25卷 / 01期
关键词：
crossing number; integer linear program; polyhedral study; facets; Kuratowski constraints;
D O I：
10.1137/09076965X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the last years, several integer linear programming (ILP) formulations for the crossing number problem arose. While they all contain a common conceptual core, the properties of the corresponding polytopes have never been investigated. In this paper, we formally establish the crossing number polytope and show several facet-defining constraint classes.
引用
收藏
页码：95 / 111
页数：17
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