图K_m∪K_n∪K_p的优美性

Gracefulness on K_m∪K_n∪K_p

得到了图Ｋ＿ｍ∪Ｋ＿ｎ∪Ｋ＿ｐ是优美图的充分必要条件。

That Km∪Kn∪Kp is graceful if and only if( m,n,p)=(4,2,2),(5,2,2),(6,2,2),(5,3,2),(5,3,3)or(6,3,2), where Km is complete graph with p vertices is proved.