A CYCLE OR JAHANGIR RAMSEY UNSATURATED GRAPHS

A graph is Ramsey unsaturated if there exists a proper su- pergraph of the same order with the same Ramsey number, and Ramsey saturated otherwise. We present some result concerning both Ramsey sat- urated and unsaturated graph. In particular, we show that a cycle Cn and a Jahangir Jm Ramsey unsaturated or saturated graphs of R(Cn,Wm) and R(Pn, Jm), respectively. We also suggest an open problems.