| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 5, October 2024
|
|
|---|---|---|
| Page(s) | 412 - 418 | |
| DOI | https://doi.org/10.1051/wujns/2024295412 | |
| Published online | 20 November 2024 | |
Mathematics
CLC number: O157.5
E-Total Coloring of Complete Bipartite Graphs K5,n (5≤n≤7 113) Which Are Vertex-Distinguished by Multiple Sets
完全二部图K5,n (5≤n≤7 113) 的点被多重集可区别的E-全染色
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
† Corresponding author. E-mail: chenxe@nwnu.edu.cn
Received:
22
November
2023
In this study, using the method of contradiction and the pre-assignment of chromatic sets, we discuss the E-total coloring of complete bipartite graphs K5,n (5≤n≤7 113) which are vertex-distinguished by multiple sets. The vertex-distinguishing E-total chromatic numbers of this kind of graph are determined.
摘要
本文利用反证法和色集合事先分配法,探讨了完全二部图K5,n (5≤n≤7 113) 的点被多重集可区别的E-全染色,确定了这类图的点被多重集可区别的E-全色数。
Key words: complete bipartite graph / E-total coloring / E-total chromatic number / multiple sets / chromatic sets
关键字 : 完全二部图 / E-全染色 / E-全色数 / 多重集 / 色集合
Cite this article: GUO Yaqin, CHEN Xiang'en. E-Total Coloring of Complete Bipartite Graphs K5,n (5≤n≤7 113) Which Are Vertex-Distinguished by Multiple Sets[J]. Wuhan Univ J of Nat Sci, 2024, 29(5): 412-418.
Biography: GUO Yaqin, female, Master candidate, research direction: graph theory and its application. E-mail: guoyaqin20220901@163.com
Fundation item: Supported by the National Natural Science Foundation of China (11761064)
© Wuhan University 2024
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