Fast local search for the maximum independent set problem

被引:0
|
作者
Andrade, Diogo V. [2 ]
Resende, Mauricio G. C. [1 ]
Werneck, Renato F. [3 ]
机构
[1] AT&T Labs Res, 180 Pk Ave, Florham Pk, NJ 07932 USA
[2] Google Inc, New York, NY 10011 USA
[3] Microsoft Res Silicon Valley, Mountain View, CA 94043 USA
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Given a graph G = (V, E), the independent set problem is that of finding a maximum-cardinality subset S of V such that no two vertices in S are adjacent. We present a fast local search routine for this problem. Our algorithm can determine in linear time whether a maximal solution can be improved by replacing a single vertex with two others. We also show that an incremental version of this method can be useful within more elaborate heuristics. We test our algorithms on instances from the literature as well as on new ones proposed in this paper.
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页码:220 / +
页数:2
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