Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers

Harold Fredricksen, Melvin M. Sweet

Source record

Source: Crossref

Published: May 18, 2000

DOI: 10.37236/1510

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Source 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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Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers — Mathematical Frontier Network