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5类图的优美性
引用本文:唐保祥,任韩.5类图的优美性[J].吉林大学学报(理学版),2023,61(1):79-84.
作者姓名:唐保祥  任韩
作者单位:1. 天水师范学院 数学与统计学院, 甘肃 天水 741001; 2. 华东师范大学 数学科学学院, 上海 200062
摘    要:用构造方法给出图的优美标号, 并证明这五类图都是优美图. 当n≤5时, 都是极小优美图, 并给出对应长度尺子刻度数最少的15组刻度值.

关 键 词:优美图    优美标号    完全二部图    极小优美图    省刻度尺  
收稿时间:2022-03-19

Gracefulness of Five Kinds of Graphs
TANG Baoxiang,REN Han.Gracefulness of Five Kinds of Graphs[J].Journal of Jilin University: Sci Ed,2023,61(1):79-84.
Authors:TANG Baoxiang  REN Han
Institution:1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, Gansu Province, China;
2. School of Mathematical Sciences, East China Normal University, Shanghai 200062, China
Abstract:The graceful labels of graphs were given by the construction method, and it was proved that these five kinds of graphs were all graceful graphs. When n≤5, were all extremely minimal graceful graph, from which the 15 groups of scale values with the least number of scales for the corresponding length ruler were given.
Keywords:graceful graph  graceful labeling  complete bipartite graph  minimal graceful graph  saving scale  
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