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| K1,5,p和K1,6,p的点可区别的IE-全染色及一般全染色 | |
| 引用本文： | 寇艳芳,陈祥恩,王治文. K1,5,p和K1,6,p的点可区别的IE-全染色及一般全染色[J]. 浙江大学学报(理学版), 2018, 45(5): 533-539. DOI: 10.3785/j.issn.1008-9497.2018.05.003 |
| 作者姓名： | 寇艳芳 陈祥恩 王治文 |
| 作者单位： | 1. 西北师范大学 数学与统计学院, 甘肃 兰州 730070; 2. 宁夏大学 数学与统计学院, 宁夏 银川 750021 |
| 基金项目： | 国家自然科学基金资助项目（11761064，61163037，11261046）；宁夏回族自治区百人计划资助项目. |
| 摘 要： | 利用色集事先分配法、构造染色法和反证法，探讨了完全三部图K1，5，p和K1，6，p的点可区别IE-全染色和点可区别一般全染色问题，确定了K1，5，p和K1，6，p的点可区别IE-全色数和点可区别一般全色数. |
| 关 键 词： | 完全三部图 IE-全染色 点可区别IE-全染色 一般全染色 点可区别一般全染色 |
| 收稿时间： | 2017-09-17 |
Vertex-distinguishing IE-total coloring and general-total coloring of K1,5,p and K1,6,p |
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| KOU Yanfang,CHEN Xiangen,WANG Zhiwen. Vertex-distinguishing IE-total coloring and general-total coloring of K1,5,p and K1,6,p[J]. Journal of Zhejiang University(Sciences Edition), 2018, 45(5): 533-539. DOI: 10.3785/j.issn.1008-9497.2018.05.003 | |
| Authors: | KOU Yanfang CHEN Xiangen WANG Zhiwen |
| Affiliation: | 1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China; 2. School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China |
| Abstract: | By employing the methods of distributing the color sets in advance and constructing the colorings and contradiction, we discuss the vertex-distinguishing IE-total coloring and vertex-distinguishing general total coloring of complete tripartite graphs K1,5,p and K1,6,p. The vertex-distinguishing IE-total chromatic number and vertex-distinguishing general total chromatic number of K1,5,p and K1,6,p are determined. |
| Keywords: | complete tripartite graph IE-total coloring vertex-distinguishing IE-total coloring general total coloring vertex-distinguishing general total coloring |
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