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《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (1): 18-23.doi: 10.6040/j.issn.1671-9352.0.2019.206

• • 上一篇    

K3,3,p的点可区别的一般全染色

杨佳睿,陈祥恩*   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2021-01-05
  • 作者简介:杨佳睿(1996— ),男,硕士研究生, 研究方向为图论及其应用. E-mail:yangjiarui96@163.com*通信作者简介:陈祥恩(1965— ),男,硕士,教授,研究方向为图论及其应用. E-mail:chenxe@nwnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11761064)

Vertex-distinguishing general total coloring of K3,3,p

YANG Jia-rui, CHEN Xiang-en*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-01-05

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摘要： 利用色集事先分配法、构造染色法、反证法探讨了完全三部图K3,3,p(p≥3)的点可区别一般全染色问题, 确定了K3,3,p(p≥3)的点可区别一般全色数。

关键词: 完全三部图, 一般全染色, 点可区别一般全染色, 点可区别一般全色数。

Abstract: The vertex-distinguishing general total coloring of complete tripartite graphs K3,3,p(p≥3)is discussed by using the methods of distributing the color sets in advance, constructing the colorings and contradiction. The vertex-distinguishing general total chromatic number of K3,3,p(p≥3)is determined.

Key words: complete tripartite graph, general total coloring, vertex-distinguishing general total coloring, vertex-distinguishing general total chromatic number

中图分类号: 

  • O157.5
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[1] 寇艳芳,陈祥恩,王治文. K1,3,p和 K1,4,p的点可区别的IE-全染色及一般全染色[J]. 山东大学学报（理学版）, 2018, 53(8): 53-60.
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