优美树的扩充  

EXPANSION OF GRACEFUL TREE

作　　者：喻卫 YU Wei(Department of Basic,Anhui Sanlian University, Hefei, Anhui 230601, China)

机构地区：[1]安徽三联学院基础部,安徽合肥230601

出　　处：《井冈山大学学报（自然科学版）》2018年第2期14-18,共5页Journal of Jinggangshan University (Natural Science)

基　　金：安徽三联学院校级自然一般资助项目(kjyb2016011)

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。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.

关 键 词：优美图 优美标号 树 优美树 

分 类 号：O157.5[理学—数学]