Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers

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 R6(3) and R7(3). We also make several observations concerning symmetric sumfree partitions into 5 sets.

• Type: Journal
• Year: 2000
• Where: COMBINATORICS
• Authors: Harold Fredricksen, Melvin M. Sweet
• Keywords: COMBINATORICS 2000, Multicolor Ramsey Numbers, Schur Numbers, Symmetric Sumfree Partitions