Gracefulness of several unconnected graphs with wheel
Jing Xin Wei, Tao Wang, Caiyun Sun · Wuhan University Journal of Natural Sciences · 2016
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 (1) ∪ K (2) is graceful; for p≥1, t≥1, let n=2t+3,2t + 4, then W n,2n+1 ∪K (1) ∪ K (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.