计算机科学 ›› 2007, Vol. 34 ›› Issue (1): 177-178.

• 计算机网络与信息安全 • 上一篇    下一篇

图的支配集若干问题的研究

李镇坚 葛启 王海涛 朱洪   

  1. 复旦大学计算机科学与工程系,上海200433
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本研究受到国家自然科学基金第60496321和60373021号以及上海市科技发展基金第03JC14014号资助.

LI Zhen-Jian, GE Qi ,WANG Hai-Tao ,ZHU Hong (Dept. of Computer Science and Engineering, Fudan University,Shanghai 200433)   

  • Online:2018-11-16 Published:2018-11-16

摘要: 本文提出了两个图支配集问题的变形即C强支配集和完全支配集问题,这两个问题都有重要的实际应用背景。我们证明了它们的判定问题是NP完全的,并且给出了它们相应优化问题的近似算法以及算法的近似度分析。

关键词: 支配集问题 C强支配集 完全支配集 NPC,NP-hard 近似算法

Abstract: Two variations of the dominating set problem are presented, both of which have corresponding application background. In this paper, we prove the decision problems of the two variations are NPC. Furthermore, the approximation algorithms for their col-respo

Key words: Dominating set problem, Cstrong dominating set problem, Compl.ete dominating set problem, NPC, NP- hard, Approximation algorithm

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