图的邻域同调的几个等价条件

Several Equivalent Conditions of the Neighborhood Homology of Graphs

本文研究了图的邻域复形同调群的性质。设G是一个简单连通图,X是G的一个顶点子集,F是G的一个边子集,可得G与G-X或者G-F是邻域同调的几个等价条件。

In this paper we study some properties of homology group of neighborhood complexes of graphs. Suppose that G is a simple connected graph. X is a vertex-subset of G and F is a edge-subset of G, we obtain several equivalent conditions that the graph G is neighborhood homology to G-X or G-F.