| 喻卫.优美树的扩充[J].井冈山大学自然版,2018,(2):14-18 |
| 优美树的扩充 |
| EXPANSION OF GRACEFUL TREE |
| 投稿时间：2017-11-15 修订日期：2018-01-08 |
| DOI：10.3969/j.issn.1674-8085.2018.02.003 |
| 中文关键词: 优美图 优美标号 树 优美树 |
| 英文关键词: graceful graph graceful labeling tree graceful tree |
| 基金项目:安徽三联学院校级自然一般资助项目（kjyb2016011） |
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| 摘要点击次数: 1725 |
| 全文下载次数: 1970 |
| 中文摘要: |
| 在任意直径为4和5的优美树的基础上进行了研究，找到了两个法则，一个加法法则，一个乘法法则，并提出了优美树群的概念。接着又提出了优美树群中的元素的合成是可以封闭的，那么一棵优美树分解成一系列子树是否是优美的，本文给出肯定的答复。然后给出"一刀切"的判断方法去判断一些树是优美的。 |
| 英文摘要: |
| We mainly talk about the research on the graceful tress on the basis of diameter of 4 or five. We have found two rules, one is the rule of addition rule, the other is the multiplication rule. As a result, we propose the concept of graceful trees. Furthermore, we proposed that a beautiful groups of trees in the synthesis of the elements can be closed. A beautiful tree that could be broken down into a series of sub-tree is beautiful? Finally, we also give a way to judge the "one size fits all" to judge some of the trees if beautiful are not. |
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