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改进的最优顶点覆盖贪心边近似算法 被引量:6

Improved greedy-edge approximation algorithm of the optimal vertex-cover
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摘要 最优顶点覆盖问题是6个基本的NP完全问题之一,无法在多项式时间内得到最优解,除非P=NP。文中给出改进的最优顶点覆盖贪心边近似算法的同时,证明并讨论了它的近似因子是一个不大于2的与单点贪心边数和双点贪心边数相关的因子。 The Mininum Vertex Cover problem is one of the six "basic" NP-eomplete problem, it cannot be solved in polynomial time, unless N = NP. The algorithm of this paper solved vertex cover problem from another point of view. It improved the Greedy-Edge Approximation Mgorithm, proved and discussed that the approximation factor of the Improved Greedy-Edge Approximation Mgorithm containing the number of Single point Greedy-Edge and the number of Double point Greedy-Edge was not more than 2.
作者 杨杰
出处 《计算机应用》 CSCD 北大核心 2006年第1期149-151,共3页 journal of Computer Applications
关键词 顶点覆盖 近似算法 近似因子 单点贪心边 双点贪心边 贪心边 vertex cover approximation algorithms approximation factor single point greedy-edge double point greedyedge greedy-edge
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参考文献12

  • 1GAREY MR, JOHNSON DS. Strong NP-completeness results: motivation, examples, and implications[J]. Journal of ACM, 1978, 25(3): 499 -508. 被引量:1
  • 2KARP R. Reducibility among combinatorial problems[A]. MILLER RE, THATCHER JW, eds. Complexity of Computer Computations[C]. Plenum Press, NY, 1972.85 - 103. 被引量:1
  • 3姚朝灼.顶点覆盖问题的贪心算法的设计与分析[J].福州大学学报(自然科学版),2001,29(1):8-11. 被引量:9
  • 4CORMEN TH, LEISERSON CE, RIVEST RL, et al. Introduction to Algorithms[M]. Second Edition. The MIT Press, 2001.1024-1027, 1040 - 1043. 被引量:1
  • 5BAR-YEHUDA R, EVEN S. A local-ratio theorem for approximating the weighted vertex cover problem[J]. Annals of Discrete Mathematics, 1985, 25:27-46. 被引量:1
  • 6MONIEN B, SPECKENMEYER E. Ramsey numbers and an approximation algorithm for the vertex cover problem[J]. Acta Informatica, 1985,22(1) : 115 - 123. 被引量:1
  • 7HALPERIN E. Improved approximation algorithms for the vertex cover problem in graphs and hypergraphs[A]. Proc. 11th Ann[C].ACM-SIAM Symposium on Discrete Algorithms, 2000. 329-337. 被引量:1
  • 8HALPERIN E . Improved approximation algorithms for the vertex cover problem in graphs and hypergraphs[J]. SIAM J. on Computing. 2002.31 (5): 1608 - 1623. 被引量:1
  • 9KARAKOSTAS G. A better approximation ratio for the Vertex Cover problem[R]. ECCC Report TR04-084, 2004. 被引量:1
  • 10HaSTAD J. Some optimal inapproximability results[A]. Proc. 29th Ann[C]. ACM Symp. on Theory of Comp, ACM, 1997.1 - 10. 被引量:1

二级参考文献2

  • 1傅清洋 王晓东.算法与数据结构[M].北京:电子工业出版社,1998.. 被引量:1
  • 2傅清祥,算法与数据结构,1998年 被引量:1

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