On the chromatic number of graphs

被引：0
|
作者：
Butenko, S [1 ]
Festa, P
Pardalos, PM
机构：
[1] Univ Florida, Dept Ind & Syst Engn, Gainesville, FL 32611 USA
[2] Univ Salerno, Dept Math & Comp Sci, I-84100 Salerno, Italy
[3] Univ Florida, Ctr Appl Optimizat, Dept Ind & Syst Engn, Gainesville, FL USA
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2001年 / 109卷 / 01期
关键词：
graph coloring problems; combination optimization; integer programming; test problems;
D O I：
暂无
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Computing the chromatic number of a graph is an NP-hard problem. For random graphs and some other classes of graphs, estimators of the expected chromatic number have been well studied. In this paper, a new 0-1 integer programming formulation for the graph coloring problem is presented. The proposed new formulation is used to develop a method that generates graphs of known chromatic number by using the KKT optimality conditions of a related continuous nonlinear program.
引用
收藏
页码：51 / 67
页数：17
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