APPROXIMATING THE MINIMUM MAXIMAL INDEPENDENCE NUMBER

被引:78
作者
HALLDORSSON, MM
机构
[1] School of Information Science, Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa
关键词
COMBINATORIAL PROBLEMS; APPROXIMATION ALGORITHMS;
D O I
10.1016/0020-0190(93)90022-2
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider the problem of approximating the size of a minimum non-extendible independent set of a graph, also known as the minimum dominating independence number. We strengthen a result of Irving to show that there is no constant epsilon > 0 for which this problem can be approximated within a factor of n1-epsilon in polynomial time, unless P = NP. This is the strongest lower bound we are aware of for polynomial-time approximation of an unweighted NP-complete graph problem.
引用
收藏
页码:169 / 172
页数:4
相关论文
共 3 条
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ARORA S, 1992, 33RD P ANN IEEE S F
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IRVING, RW .
INFORMATION PROCESSING LETTERS, 1991, 37 (04) :197-200
[3]  
KANN V, 1992, UNPUB POLYNOMIALLY B