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一种求解最小生成树问题的算法

孙小军 刘三阳 王志强

计算机工程2011,Vol.37Issue(23):241-243,247,4.
计算机工程2011,Vol.37Issue(23):241-243,247,4.

一种求解最小生成树问题的算法

Algorithm for Solving Minimum Spanning Tree Problem

孙小军 1刘三阳 2王志强3

作者信息

  • 1. 宝鸡文理学院数学系,陕西宝鸡721013
  • 2. 西安电子科技大学理学院,西安710071
  • 3. 总装备部驻天水地区军事代表室,陕西宝鸡721006
  • 折叠

摘要

Abstract

This paper presents an algorithm for solving Minimum Spanning Tree(MST) problem based on the node combination and reverse direction tracing method. According to the adjacent matrix, the source node and the adjacent nodes are combined into new source node repeatedly and all the nodes in the network are combined into one single node. By introducing the front point label array, it gets the MST. The correctness and complexity of the algorithm are analyzed. It applies the algorithm to the highway system engineering construction plan, the results prove the validity of the algorithm.

关键词

最小生成树/节点合并/反向追踪/前点标号数组/邻接矩阵

Key words

Minimum Spanning Tree(MST)/ node combination/ reverse direction tracing/ front point label array/ adjacent matrix

分类

数理科学

引用本文复制引用

孙小军,刘三阳,王志强..一种求解最小生成树问题的算法[J].计算机工程,2011,37(23):241-243,247,4.

基金项目

陕西省教育厅专项科研计划基金资助项目(11JK0509) (11JK0509)

宝鸡文理学院基金资助重点项目(ZK0931) (ZK0931)

计算机工程

OACSCDCSTPCD

1000-3428

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