【摘要】 给定图G=(V(G) ,E(G) ) .如果M E(G)中任意两条边不相邻 ,则称M是G的一个匹配 .以图G的所有匹配为单形的复形叫做图G的匹配复形 ,记作M(G) .研究了M(G)的一些性质 ,如M(G)的Betti数 ,和图G的关系等 .更多还原

【Abstract】 By introducing topology method to graph theory,we can get some notions and parameters that are somewhat new from the perspective of graph theory.Many attempts have been made and some results have been obtained on graphs′ clique complex,independent complex and their topology properties.In this paper graphs′ matching complex is introduced in.Some characterizations are also presented on Betti numbers and relations between a graph and its matching complex.更多还原