Equitable and semi-equitable coloring of cubic graphs and its application in batch scheduling

被引：8
|
作者：
Furmanczyk, Hanna [1 ]
Kubale, Marek [2 ]
机构：
[1] Univ Gdansk, Inst Informat, Wita Stwosza 57, PL-80952 Gdansk, Poland
[2] Gdansk Univ Technol, Dept Algorithms & Syst Modeling, PL-80233 Gdansk, Poland
来源：
ARCHIVES OF CONTROL SCIENCES | 2015年 / 25卷 / 01期
关键词：
batch scheduling; equitable coloring; semi-equitable coloring; cubic graph;
D O I：
10.1515/acsc-2015-0007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the paper we consider the problems of equitable and semi-equitable coloring of vertices of cubic graphs. We show that in contrast to the equitable coloring, which is easy, the problem of semi-equitable coloring is NP-complete within a broad spectrum of graph parameters. This affects the complexity of batch scheduling of unit-length jobs with cubic incompatibility graph on three uniform processors to minimize the makespan.
引用
收藏
页码：109 / 116
页数：8
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