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		     | 摘要: | 
			 
		     | 不含三角形子图是简化图的一个重要特征.在研究超欧拉图的边数问题中,估计子图的边数是一个有趣的问题.在考察不含三角形子图这一类图时,使用移边法发现了一个估计这类图的边数的一个上界,并且得到了在达到这个上界时,该图所具有的结构. | 
			
	         
				| 关键词:  不含三角形图  边数  移边法  简化图  超欧拉图 | 
			 
                | DOI: | 
            
                | 分类号:O157 | 
			 
             
                | 基金项目: | 
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                | An edge-number property of graphs with K3-free | 
           
			
                | WANG Bin  LEI Lan | 
           
		   
             
                | Abstract: | 
			
                | K_3-free is an important property of reduced graphs.In studying supereulerian graphs,estimating edge-number is a very interesting problem.In this paper,one upper bound of edge-number of graphs with K_3-free has been found by the method of edge-transition. | 
	       
                | Key words:  K_3-free,edge number,edge-transition,reduced graph,supereulerian, |