陈怀堂.关于图升分解为独立边集问题[J].数学研究及应用,1994,14(1):61~64
关于图升分解为独立边集问题
On the Problem of Ascending SubgraphDecompositions into Matchings
投稿时间:1991-12-12  
DOI:10.3770/j.issn:1000-341X.1994.01.009
中文关键词:  
英文关键词:
基金项目:
作者单位
陈怀堂 山东临沂师专数学系 
摘要点击次数: 1937
全文下载次数: 1166
中文摘要:
      Alavi[1]给出了图的升分解概念,并猜想每一图都可升分解.本文证明了边数为(?)的图G当边色数X'(G)≤(n+2)/2时可升分解为{Gi}, 1≤i≤n, Gi≈iK2
英文摘要:
      Alavi has given the definition of the ascending subgraph decomposition. Heconjectured that every graph of positive size has an asceuding subgraph decomposition.In this paper it is proved that a graph G of size (?)has an ascending subgraphdecomposition {Gi}, 1≤i≤n, with Gi≈iK2 if the edge chromatic number x'(G)≤(n + 2)/2.
查看全文  查看/发表评论  下载PDF阅读器