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单圈图的邻强边染色
引用本文:赵新梅,陈祥恩.单圈图的邻强边染色[J].兰州铁道学院学报,2005,24(6):138-140.
作者姓名:赵新梅  陈祥恩
作者单位:西北师范大学,数学与信息科学学院,甘肃,兰州,730070;西北师范大学,数学与信息科学学院,甘肃,兰州,730070
摘    要:设G是阶数不小于3的简单连通图,G的k-正常边染色称为是邻强的,如果G的任意相邻的两顶点的关联边的颜色构成的集合不同.对一个图G进行邻强边染色所需要的最少的颜色数称为是G的邻强边色数.本文研究了单圈图的邻强边染色.

关 键 词:单圈图  边染色  邻强边染色
文章编号:1001-4373(2005)06-0138-03
收稿时间:2005-03-10
修稿时间:2005年3月10日

On the Adjacent Strong Edge Coloring of Monocycle Graph
Zhao Xinmei,Chen Xiang''''en.On the Adjacent Strong Edge Coloring of Monocycle Graph[J].Journal of Lanzhou Railway University,2005,24(6):138-140.
Authors:Zhao Xinmei  Chen Xiang'en
Institution:School of Mathematics and Information Science, Northwest Normal University,Lanzhou 730070, China
Abstract:Let G be a simple connected graph with order not less than 3, a k-proper edge coloring of G is called adjacent-strong if for arbitrary two adjacent vertices which are incident to different sets of colored edges. The minimum number required for an adjacent-strong edge coloring of G is called the adjacent strong edge chromatic number. The adjacent strong edge chromatic numbers of monocycle graphs are obtained in this paper.
Keywords:monocycle graph  edge coloring  adjacent-strong edge coloring
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