The Ramsey numbers of trees versus or

Let T n denote a tree of order n and W m a wheel of order m + 1 . In this paper, we show the Ramsey numbers R ( T n , W 6 ) = 2 n − 1 + μ for n ≥ 5 , where μ = 2 if T n = S n , μ = 1 if T n = S n ( 1 , 1 ) or T n = S n ( 1 , 2 ) and n ≡ 0 ( mod 3 ) , and μ = 0 otherwise; R ( T n , W 7 ) = 3 n − 2 for n ≥ 6 .