Symmetric sum-free partitions and lower bounds for Schur numbers.
Fredricksen, Harold, Sweet, Melvin M. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “A lower bound for Schur numbers and multicolor Ramsey numbers.”
Symmetric sum-free partitions and lower bounds for Schur numbers.
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We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.
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M. Skałba (2010)
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For any partition of a set of squarefree numbers with relative density greater than 3/4 into two parts, at least one part contains three numbers whose product is a square. Also generalizations to partitions into more than two parts are discussed.
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Integers
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Sills, Andrew V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Colloquium Mathematicae
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