The two-color Ramsey number \(R(k, l)\) is the smallest integer \(p\) such that for any graph \(G\) on \(p\) vertices either \(G\) contains a \(K_k\) or \(\overline{G}\) contains a \(K_l\), where \(\overline{G}\) denotes the complement of \(G\). A new upper bound formula is given for two-color Ramsey numbers. For example, we get \(R(7,9) \leq 1713\),
\(R(8,10) \leq 6090\) etc.