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J4 ›› 2012, Vol. 47 ›› Issue (6): 67-70.

• 论文 • 上一篇    下一篇

图的集合边色数

王艳丽,苗连英   

  1. 中国矿业大学理学院, 江苏 徐州 221116
  • 收稿日期:2011-05-05 出版日期:2012-06-20 发布日期:2012-06-26
  • 作者简介:王艳丽(1987- ),女,硕士,研究方向为运筹学与控制论.Email:wangyanli00@163.com
  • 基金资助:

    中央高校基本科研业务费专项基金 (2010LKSX06)

The set edge chromatic number of a graph

WANG Yan-li, MIAO Lian-ying   

  1. College of Sciences, China University of Mining & Technology, Xuzhou 221116, Jiangsu,  China
  • Received:2011-05-05 Online:2012-06-20 Published:2012-06-26

摘要:

给出了集合边色数的定义。运用结构图论的方法,给出了集合边色数的下界以及图与其顶点删除子图、边删除子图的集合边色数的关系。

关键词: 集合边色数; 邻色集; 集合边染色; 度

Abstract:

The definition of set edge chromatic number is given. By the use of the method of structure graph theory,  the lower bounds of the set edge chromatic numbers of graphs, the relationships among the set edge chromatic numbers of a graph, and its vertexdeleted subgraphs and its edge-deleted subgraphs are given.

Key words: set edge chromatic number; neighborhood color set; set edge coloring; degrees

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