The Ramsey numbers of trees versus W6 or W7

Let Tn denote a tree of order n and Wm a wheel of order m+1. In this paper, we show the Ramsey numbers R(Tn,W6)=2n−1+μ for n≥5, where μ=2 if Tn=Sn, μ=1 if Tn=Sn(1,1) or Tn=Sn(1,2) and n≡0(mod3), and μ=0 otherwise; R(Tn,W7)=3n−2 for n≥6.