讨论了形如或P^36k+1∪P^3n非连通并图的优美性,用构造性的方法给出了P^36k+1∪P^3n的优美标号,并证明P^36k+1∪P^3n是交错图.
Abstract: The gracefulness of disconnected graph of P^36k+1∪P^3n is discussed. The graceful labelings are given. It al is so proves that union graph of P^36k+1∪P^3n is alternating graph.