计算机应用 ›› 2010, Vol. 30 ›› Issue (3): 838-841.

• 典型应用 • 上一篇    下一篇

图的最大公共连通子图问题研究

左黎明1,汤鹏志2,徐保根2   

  1. 1. 华东交通大学基础科学学院
    2. 华东交通大学
  • 收稿日期:2009-09-02 修回日期:2009-10-24 发布日期:2010-03-14 出版日期:2010-03-01
  • 通讯作者: 左黎明
  • 基金资助:
    国家自然科学基金资助项目

A Research on Finding Connected Maximal Common Subgraph in Some Graphs

  • Received:2009-09-02 Revised:2009-10-24 Online:2010-03-14 Published:2010-03-01

摘要: 图像识别、恶意代码族群特征提取、人工智能中许多应用问题都可以规约为一类图的最大公共连通子图问题。提出了求解简单最大连通子图问题的矩阵方法,定义了图特征相关度和图度序列相关系数的概念,最后结合算例给出了一种求解一般最大公共连通子图问题的贪婪算法,能够快速有效地找到一个尽可能大的公共连通子图。

关键词: 连通图, 公共子图, 连通子图, 贪婪算法

Abstract: Many application problems in pattern recognition, extraction and analysis techniques of malicious code family signature and artificial intelligence can be converted into the problem of finding connected maximal common subgraph in some graphs. A new matrix algorithm which solved some simple cases, feature correlation of graph and serial correlation coefficient of graph degree was defined. At last, a greedy algorithm with example for finding connected maximal common subgraph in some graphs was proposed; the greedy algorithm can quickly and efficiently find a common connected subgraph as large as possible.

Key words: connected graph, common subgraph, connected subgraph, greedy algorithm