Luis Boza

On Quadrilateral–Book Ramsey Numbers

Let Bn=K1+K1,n be the book with n pages, and write f(n)=R(C4,K1,n) and g(n)=R(C4,Bn). We develop transfer relations that convert information on the star Ramsey numbers f(n) into bounds and exact values for the book Ramsey numbers g(n). Starting from a general inequality of Burr a...