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		     | 摘要: | 
			 
		     | 利用收缩的方法研究了超欧拉图的欧拉生成子图的边数问题,得到了结果:若 1个超欧拉图的子图H最多差 1条边有 3棵边不交的生成树,如果把H收缩后的图满足Catlin猜想,则原图也满足Catlin猜想 . | 
			
	         
				| 关键词:  超欧拉图,欧拉生成子图,收缩,边数,边不交的生成树 | 
			 
                | DOI: | 
            
                | 分类号:O157.5 G633 | 
			 
             
                | 基金项目: | 
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                | Some theorems about the number of edges of maximum spanning Elerian subgraph | 
           
			
                | LI Xiao-min  WANG Bin | 
           
		   
             
                | Abstract: | 
			
                | It makes use of Reduction techniques on the problem of the edge_number of Maximam SES,and the result follows: if a graph G is supereulerian,which has a subgraph H with at most one edge short of three edge_disjoint spanning trees,then the graph G satisfies | 
	       
                | Key words:  supereulerian graph,spanning Eulerian subgraph,reduction method,edge_number,edge_disjoint spanning tree |