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The edge Folkman numbers $F_e(3, 3; q) = \\min\\{|V(G)| : G \\in \\mathcal{H}_e(3, 3; q)\\}$ are considered. Folkman proved in 1970 that $F_e(3, 3; q)$ exists if and only if $q \\geq 4$. From the Ramsey number $R(3, 3) = 6$ it becomes clear that $F_e(3, 3; q) = 6$ if $q \\geq 7$. It is also known that $F_e(3, 3; 6) = 8$ and $F_e(3, 3; 5) = 15$. 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