Solving a multicoloring problem with overlaps using integer programming

被引：4

作者：

Mendez-Diaz, Isabel ^{[1
]}

Zabala, Paula ^{[1
]}

机构：

[1] Univ Buenos Aires, Consejo Nacl Invest Cient & Tecn, Dept Computac, FCEyN, RA-1053 Buenos Aires, DF, Argentina

来源：

DISCRETE APPLIED MATHEMATICS | 2010年 / 158卷 / 04期

关键词：

Graph multicoloring; Integer programming; Branch-and-Cut;

D O I：

10.1016/j.dam.2009.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：349 / 354

页数：6

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