Star-critical Ramsey number of large cycle and book of different orders

For graphs F, G and H, let F → ( G , H ) signify that any red/blue edge coloring of F contains either a red G or a blue H. The Ramsey number R ( G , H ) is defined to be the minimum r such that K r → ( G , H ) , and the star-critical Ramsey number R S ( G , H ) is defined to be the maximum t such that K r ∖ K 1 , t → ( G , H ) , where r = R ( G , H ) . In this note, we shall determine R S ( B n , C m ) for almost same orders.