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.
Corrigendum: A note on self-conjugate -color partitions.
Agarwal, A.K. (1998)
International Journal of Mathematics and Mathematical Sciences
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-color partitions with weighted differences equal to minus two.
Agarwal, A.K., Balasubrananian, R. (1997)
International Journal of Mathematics and Mathematical Sciences
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Combinatorial interpretations for identities using chromatic partitions
Mateus Alegri, Wagner Ferreira Santos, Samuel Brito Silva (2021)
Czechoslovak Mathematical Journal
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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.
Integer partitions with fixed subsums.
Yakubovich, Yu. (2005)
The Electronic Journal of Combinatorics [electronic only]
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A combinatorial proof of Andrews' smallest parts partition function.
Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
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Dominance order and graphical partitions.
Kohnert, Axel (2004)
The Electronic Journal of Combinatorics [electronic only]
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A Sperner-type theorem for set-partition systems.
Meagher, Karen, Moura, Lucia, Stevens, Brett (2005)
The Electronic Journal of Combinatorics [electronic only]
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-color partition theoretic interpretations of some mock theta functions.
Agarwal, A.K. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Product of three numbers being a square as a Ramsey property
M. Skałba (2010)
Colloquium Mathematicae
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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.
Erdős-Ko-Rado theorems for uniform set-partition systems.
Meagher, Karen, Moura, Lucia (2005)
The Electronic Journal of Combinatorics [electronic only]
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Extending a recent result of Santos on partitions into odd parts.
Sellers, James A. (2003)
Integers
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A combinatorial proof of a partition identity of Andrews and Stanley.
Sills, Andrew V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Point partition numbers and generalized Nordhaus-Gaddum problems
Mieczysław Borowiecki (1984)
Colloquium Mathematicae
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