K2,4,p的点可区别IE-全染色

陈祥恩; 张爽; 李泽鹏

doi:10.11999/JEIT190829

K_2,4,p的点可区别IE-全染色

doi: 10.11999/JEIT190829

1.
西北师范大学数学与统计学院兰州 730070
2.
兰州大学信息科学与工程学院兰州 730000

基金项目: 国家自然科学基金(11761064, 61163037)，兰州大学中央高校基本科研业务费专项基金(lzujbky-2018-37)

详细信息

作者简介:
陈祥恩：男，1965年生，教授，研究方向为图论及其应用

张爽：女，1995年生，硕士，研究方向为图论及其应用

李泽鹏：男，1988年生，副教授，研究方向为图论及其应用

通讯作者:
陈祥恩　chenxe@nwnu.edu.cn

中图分类号: O157.5
计量
- 文章访问数: 801
- HTML全文浏览量: 375
- PDF下载量: 43
- 被引次数: 0
出版历程
- 收稿日期: 2019-10-28
- 修回日期: 2020-08-25
- 网络出版日期: 2020-09-04
- 刊出日期: 2020-12-08

Vertex Distinguishing IE-total Coloring of K_2,4,p

1.
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
2.
School of Information Science and Engeering, Lanzhou University, Lanzhou 730000, China

Funds: The National Natural Science Foundation of China (11761064 61163037), Special Fund for the Operating Expenses of Basic Scientific Research in Central Universities of Lanzhou University (lzujbky-2018-37)

摘要

摘要: 该文利用色集合事先分配法、构造染色法、反证法讨论了完全三部图K_2,4,p的点可区别IE-全染色问题，确定了K_2,4,p的点可区别IE-全色数。
- 完全三部图 /
- IE-全染色 /
- 点可区别IE-全染色 /
- 点可区别IE-全色数
Abstract: Vertex-distinguishing IE-total colorings of complete tripartite graphs K_2,4,p are discussed by using the methods of distributing the color sets in advance, constructing the colorings and contradiction. The vertex-distinguishing IE-total chromatic numbers of K_2,4,p are determined.
- Complete tripartite graphs /
- IE-total coloring /
- Vertex-distinguishing IE-total coloring /
- Vertex distinguishing IE-total chromatic number

HTML全文

表 1 K_{2,4, p}的4-VDIETC

z₁ z₂ z₃ z₄ y₁ y₂ y₃ y₄

3 3 3 3
x₁ 1 1 3 3 3 1 3 1 3

x₂ 1 2 4 4 2 4 2 2 4

y₁ 4 4 4 4 1

y₂ 2 2 2 3 3

y₃ 2 1 2 1 2

y₄ 4 3 4 4 3

下载: 导出CSV

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