Contents

-

Some Ramsey Numbers of Graphs with Bridge

Yusheng Li1
1 Department of Mathematical Sciences The University of Memphis Memphis, Tennessee 38152

Abstract

It is shown that if H is a connected graph obtained from H1 and H2 by joining them with a bridge, then r(Kk,H)r(Kk,H1)+r(Kk,H2)+k2. We give some applications of this result.