Gracefulness of several unconnected graphs with wheel

In the paper, we study the gracefulness of several unconnected graphs related to wheel. For natural number p≥1,t≥1, let n = 2t + 3,2t + 4, which proved W _n ∪ K _p,t ⁽¹⁾ ∪ K _p,t ⁽²⁾ is graceful; for p≥1, t≥1, let n=2t+3,2t + 4, then W _n,2n+1 ∪K _p,t ⁽¹⁾ ∪ K _p,t ⁽²⁾ is graceful and for m ≥ 1, r ≥ 1, let n = 2m + 5, W _n,2n+1 ∪(C ₃ ∨(overline{K_{m}})) ∪ St(r) is graceful.