一类新的优美图的构造及其证明

优美图是图论中极为有趣的重要研究课题之一，有着广泛的应用价值和研究前景．讨论了一类新的构造优美图的方法，并且给出了它们都是优美图的严格的数学证明，从而得到了图Gn=TVkn具有优美标号算法并且都是优美图等结论．所给的新的优美标号不同于现有的文献的结果．

The Structure of a New Kind of Graceful Graphs and Its Verification

Graceful graph is one of the most interesting and important research topics in graph theory with wide application and research prospects. We have proposed a new type of graceful composing method and proved that they are all graceful graphs with strict mathematical proof in this paper, as a result, we obtained the conclusion that Gn = T V kn are all graceful graphs with labeling algorithm and so on. Our new graceful labeling is different from the existed results in the literature.