计算机科学 ›› 2017, Vol. 44 ›› Issue (Z11): 115-118.doi: 10.11896/j.issn.1002-137X.2017.11A.023

• 智能计算 • 上一篇    下一篇

完全支配集的规约算法

骆伟忠,蔡昭权,兰远东,刘运龙   

  1. 惠州学院信息科学技术学院 惠州516007,惠州学院信息科学技术学院 惠州516007,惠州学院信息科学技术学院 惠州516007,湖南师范大学数学与计算机科学学院 长沙410081
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受国家自然科学基金项目(61370185),广东省自然科学基金博士启动项目(2015A030310445),惠州学院博士启动项目(C513.0211)资助

Reduction Algorithm for Total Dominating Set

LUO Wei-zhong, CAI Zhao-quan, LAN Yuan-dong and LIU Yun-long   

  • Online:2018-12-01 Published:2018-12-01

摘要: 完全支配集是一个著名的NP难解问题,在无线传感器网络中具有重要应用。主要研究了能降低问题规模的规约化算法设计。通过对问题结构进行深入分析并对图中顶点进行着色,得到图中顶点之间的新的组合特性,在此基础上提出一系列高效的多项式时间的局部规约规则。证明了规约规则的正确性,并通过仿真实验验证了规约规则的有效性。

关键词: 完全支配集,NP-难解,规约,黑白着色

Abstract: Total dominating set is a famous NP-hard problem,and has important applications in wireless sensor networks.In this paper,we mainly studied the design of reduction algorithm which can reduce the size of the original pro-blem.By analyzing the problem structure and coloring the vertices in given graph,we observed many new combinatorial properties of its vertices,and presented a set of efficient and polynomial-time reduction rules exploring local structures of the graph.The rules are proved to be correct theoretically,and the effectiveness is verified by simulations.

Key words: Total dominating set,NP-hard,Reduction,Black and white coloring

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