证明了对任意自然数n≥1,p≥1,当m=2p+3,2p+4时,非连通图Wm∪Kn,p和Wm,2m+1∪Kn,p是优美图;当i=1,2时,图W2p+2+i∪G(p i)是优美图。当m≥3,n≥s时,Wm,2m+1∪St(n)是优美图;当m=2n+5时,图Wm,2m+1∪(C3∨Kn)是优美图。
For any natural numbers n,p,which are not less than one,when m=2p+3 or 2p+4,the disconnected graphs Wm∪Kn,p and Wm,2m+1∪Kn,p are graceful;when i=1 or 2,the graph W2p+2+i∪G(i)p is graceful.If m is greater than or equal to three,and n is greater than or equal to s,where s is a natural number,Wm,2m+1∪St(n) is graceful;in particular,if m=2n+5,Wm,2m+1∪(C3∨Kn) is graceful.