On book-wheel Ramsey number Original Research Article

In this paper we determine the following Ramsey numbers: (1) r(Bm,Wn)=2n+1 for m⩾1, n⩾5m+3, (2) r(Bm,K2∨Cn)=2n+3 for n⩾9 if m=1 or n⩾(m−1)(16m3+16m2−24m−10)+1 if m⩾2, where the book Bm is the join K2∨Kmc, Wn denotes a wheel with n spokes, and Cn denotes a cycle of length n.