GREEDY ALGORITHMS FOR TRIANGLE FREE COLORING

被引:0
|
作者
Szabo, S. [1 ]
Zavalnij, B. [1 ]
机构
[1] Univ Pecs, Inst Math & Informat, Ifjusag U 6, H-7624 Pecs, Hungary
关键词
clique; maximum clique; independent set; vertex coloring; s-clique free set; s-clique free coloring; clique search algorithm; satisfiability solver; greedy coloring;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
According to [2] the capability of providing good bounds for the size of a maximum clique in a graph is a critical ingredient of an efficient clique search algorithm. In order to establish upper bounds of the size of a maximum clique we introduce some new coloring schemes using s-clique free partitioning. A complexity result will show that finding the optimal number of colors is an NP -complete problem. This can be interpreted loosely as a computational limitation. To overcome this difficulty for practical purposes we suggest various greedy coloring procedures.
引用
收藏
页码:169 / 186
页数:18
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