Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers

Harold Fredricksen, Melvin M. Sweet

Abstract


We give new lower bounds for the Schur numbers $S(6)$ and $S(7)$. This will imply new lower bounds for the Multicolor Ramsey Numbers $R_6(3)$ and $R_7(3)$. We also make several observations concerning symmetric sum-free partitions into 5 sets.


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