中文摘要：

给出了优美树、强优美树、边对称树以及对偶标号的概念，定义了T（m，1）蜘蛛树。并证明了T（m，1）蜘蛛树是强优美树，它的优美标号是对偶标号，而且T（m，1）蜘蛛树的边对称树也是强优美标号。

英文摘要：

In this paper, the concept of graceful tree, strong graceful tree, edge symmetry tree and dual label was given.T （ m, 1） -Spider tree was defined, and it was proved that T （ m, 1） -Spider tree was a strong graceful tree.Moreover, the edge symmetry tree of T （m, 1） -spider tree was also a strong graceful labe-ling.