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直径为4的树的优美性
引用本文:金德俊,孟凡洪,王锦功.直径为4的树的优美性[J].吉林大学学报(理学版),1993(1).
作者姓名:金德俊  孟凡洪  王锦功
作者单位:空军第一飞行基础学院,空军第一飞行基础学院,吉林大学管理科学系 长春 130022,长春 130022,长春 130023
摘    要:本文利用移边定理证明了任一直径为4的树的优美性.

关 键 词:优美树  移边树  根积

The Gracefulness of the Tree with a Diameter 4
Jin Dejun,Meng Fanhong.The Gracefulness of the Tree with a Diameter 4[J].Journal of Jilin University: Sci Ed,1993(1).
Authors:Jin Dejun  Meng Fanhong
Abstract:A tree with a diameter less than or equal to 3 is necessarily a caterpillar1], its gracefulness is easy to be seen. When the diameter of a tree is more than or equal to 4, its struture is complex, and its gracefulness is hard to be seen. Among these trees, the tree the diameter of which is 4 is the most basic one. In 1982, Huang, Kotzig and Rosa proved the gracefulness of the very simple trees in the paper2]. In this paper, we applied edge-moving theorem4] to prove the gracefulness of any trees with a diameter equal to 4.
Keywords:graceful trees  edge-moving trees  radical product
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