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-  2018 

几类特殊图的Mycielski图的(2, 1)全标号
(2, 1)-Total Labelling on Mycielski's Graphs of Several Kinds of Particular Graphs

DOI: 10.13718/j.cnki.xdzk.2018.12.016

Keywords: 染色, (p, 1)-全标号, (p, 1)-全标号数, Mycielski图
coloring
, (p, 1)-total coloring, (p, 1)-total number, Mycielski's graph

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Abstract:

研究了与频道分配有关的一种染色问题:(p,1)-全标号.根据Mycielski图的构造特征,利用穷染法,给出了一种标号方法,得到了路、圈、扇和轮的Mycielski图的(2,1)-全标号数.(p,1)-全标号是对图的全染色的一种推广.
A coloring problem (p, 1)-total labelling of some graphs, which is related to frequency assignment, is studied. By using the eternal coloring method, a new labelling method is given according to the feature of Mycielski's graphs, and the (2, 1)-total numbers of path, cycle, fan and wheel of the graphs are obtained. And the (p, 1)-total labelling of graphs extends the total coloring of graphs

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