A polyhedral approach for the equitable coloring problem

被引：8
|
作者：
Mendez-Diaz, Isabel [1 ]
Nasini, Graciela [2 ,3 ]
Severin, Daniel [2 ,3 ]
机构：
[1] Univ Buenos Aires, FCEyN, RA-2160 Intendente Guiraldes, Argentina
[2] Univ Nacl Rosario, FCEIA, RA-2000 Rosario, Santa Fe, Argentina
[3] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina
来源：
DISCRETE APPLIED MATHEMATICS | 2014年 / 164卷
关键词：
Equitable graph coloring; Integer programming; Cut and branch; ORBITOPES;
D O I：
10.1016/j.dam.2012.11.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study the polytope associated with a 0,1-integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining inequalities. We also present computational evidence that shows the efficacy of these inequalities used in a cutting-plane algorithm. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：413 / 426
页数：14
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