• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

J4 ›› 2008, Vol. 30 ›› Issue (12): 72-74.

• 论文 • 上一篇    下一篇

限制树宽的图的最小标记生成数算法

徐忆展[1] Rudolf Fleischer[2]   

  • 出版日期:2008-12-01 发布日期:2010-05-19

  • Online:2008-12-01 Published:2010-05-19

摘要:

本文研究了图的最小标记生成树问题。首先介绍在一般图上基于搜索树的最小标记生成树的算法;然后考虑了限制树宽的图,得到了效率更高的算法。该算法在树宽为常数的 情况下,时间复杂度关于图的顶点个数为多项式,从而也证明了最小标记生成树在限制树宽的图上属于确定参数可解问题。

关键词: 最小标记生成树 搜索树 限制树宽 确定参数可解

Abstract:

This paper studies the minimal label spanning tree problem of graphs. First we introduce this problem on the general graphs. Then we focus on the minimal label spanning tree problem of the graphs of bounded treewidth. In this paper, we get an algorithm which is polynomial on the size of graph, showing   that this problem is fixed-parameter tractable.

Key words: minimum label spanning tree, search tree, bounded treewidth, fixed-parameter tractablility