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树与色树
引用本文:周杰,袁秉成.树与色树[J].东北师大学报(自然科学版),1996(4):11-13.
作者姓名:周杰  袁秉成
作者单位:东北师范大学数学系
摘    要:给出了色树的两种性质;(1)色树相关联的两个顶点对应的串是色分划的不同色组对应的串;(2)色树顶点的对应串所含链的上等。并应用构造方法证明了任意树都是以树,从而解决了遗留问题。

关 键 词:  色树    图论  染色

Trees and Chromodendrons
Zhou Jie,Yuan Bingcheng.Trees and Chromodendrons[J].Journal of Northeast Normal University (Natural Science Edition),1996(4):11-13.
Authors:Zhou Jie  Yuan Bingcheng
Abstract:The following properties of chromedendron are given: 1)the clusters corresponding two adjacent venices of a chromodendron is the clusters corresponding different chromatic group of a chromatic assignment ; 2)the degrees of a vertex of chromodendron equal the number of lines of a clurter. It is used the constructive method to prove that each tree is a chromodendron and the problem leaved behind is answered.
Keywords:tree  chromodendron  circuit
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