仙人掌图的邻域同调分类

THE NEIGHBORHOOD HOMOLOGY CLASSIFICATION OF CACTUS

仙人掌图是一个简单连通图，其每个块或者是一条边，或者是一个圈．如果两个国的邻城复形的各阶同调群分别同构，则称这两个图是邻城同调的．本文研究了仙人掌的邻域同调群的性质，给出了仙人掌图邻城同调分类的一个充要条件．

A cactus is a simple connected graph whose each block is either an edge or a cycle.Having been given two graphs G and H,if the neighborhood homology group of G is isophorsic to the neighborhood homology group of H,then G and H are called neighborhood Homology. This paper discusses the properties of neighborhood Homology groups of a cactus, and gives some methods of the neighborhood homology classification for cactus.