Some Upper Bounds on Ramsey Numbers Involving $C_4$

Luis Boza, Stanisław Radziszowski

We obtain some new upper bounds on the Ramsey numbers of the form $R(\underset{m}{\underbrace{C_4,\dots ,C_4}},G_1,\dots ,G_n)$, where $m\ge 1$ and $G_1,\dots ,G_n$ are arbitrary graphs. We fo…