证明了对任意大于1的自然数n,p,当m≥2p+2时,非连通图Fm∪Kn,p和Fm,2 m∪Kn,p是优美图;当m≥3时,图Fm∪St(n)是优美图;当m≥4,图Fm,2 m∪St(n)和Fm,2 m∪Gr是优美图.
In this paper, we show that for natural numbers n,p which are greater than one, the graphs Fm∪Kn,p and Fm,2 m∪Kn,p are graceful, when m is not less than 2p+2; the graph Fm∪St(n) St(n) is graceful, when m is not less than 3, the graphs 2 m∪St(n) andFm,2 m∪Gr are graceful, when m is not less than 4.