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优美树的扩充
引用本文:喻卫.优美树的扩充[J].井冈山大学学报(自然科学版),2018(2):14-18.
作者姓名:喻卫
作者单位:安徽三联学院基础部
基金项目: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。

关 键 词:优美图  优美标号    优美树
收稿时间:2017/11/15 0:00:00
修稿时间:2018/1/8 0:00:00

EXPANSION OF GRACEFUL TREE
YU Wei.EXPANSION OF GRACEFUL TREE[J].Journal of Jinggangshan University(Natural Sciences Edition),2018(2):14-18.
Authors:YU Wei
Institution:Department of Basic, Anhui Sanlian University, Hefei, Anhui 230601, China
Abstract: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.
Keywords:graceful graph  graceful labeling  tree  graceful tree
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