A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses

被引:0
|
作者
Julián Mestre
机构
[1] University of Maryland,Department of Computer Science
来源
Algorithmica | 2009年 / 55卷
关键词
Approximation algorithms; Vertex cover; Primal-dual algorithms;
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学科分类号
摘要
We study the partial vertex cover problem. Given a graph G=(V,E), a weight function w:V→R+, and an integer s, our goal is to cover all but s edges, by picking a set of vertices with minimum weight. The problem is clearly NP-hard as it generalizes the well-known vertex cover problem. We provide a primal-dual 2-approximation algorithm which runs in O(nlog n+m) time. This represents an improvement in running time from the previously known fastest algorithm.
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页码:227 / 239
页数:12
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