%0 Journal Article %T 几类特殊图的Mycielski图的(2, 1)全标号<br>(2, 1)-Total Labelling on Mycielski's Graphs of Several Kinds of Particular Graphs %A 刘秀丽 %J 西南大学学报(自然科学版) %D 2018 %R 10.13718/j.cnki.xdzk.2018.12.016 %X 研究了与频道分配有关的一种染色问题:(<i>p</i>,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.(<i>p</i>,1)-全标号是对图的全染色的一种推广.<br>A coloring problem (<i>p</i>, 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 (<i>p</i>, 1)-total labelling of graphs extends the total coloring of graphs %K 染色 %K (< %K i> %K p< %K /i> %K 1)-全标号 %K (< %K i> %K p< %K /i> %K 1)-全标号数 %K Mycielski图< %K br> %K coloring %K (< %K i> %K p< %K /i> %K 1)-total coloring %K (< %K i> %K p< %K /i> %K 1)-total number %K Mycielski's graph %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/12/20181216.htm