| 1. | In this paper , we obtain three kinds of graphs by adding some vertices and some edges on , and proved that the three kinds of graphs not only are allgraceful , odd graceful , but also are balanced graphs and alternating graphs . we also gave their corresponding labelings 摘要本文通过在上增加一些顶点和边,得到了三种图,并得出此三种图均是优美的,奇优美的,也是交错图,平衡图,同时给出了相应的标号。 |