A lower bound for Schur numbers and multicolor Ramsey numbers.
Exoo, Geoffrey (1994)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Symmetric sum-free partitions and lower bounds for Schur numbers.”
A lower bound for Schur numbers and multicolor Ramsey numbers.
Symmetric partitions and pairings
Ferenc Oravecz (2000)
Colloquium Mathematicae
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The lattice of partitions and the sublattice of non-crossing partitions of a finite set are important objects in combinatorics. In this paper another sublattice of the partitions is investigated, which is formed by the symmetric partitions. The measure whose nth moment is given by the number of non-crossing symmetric partitions of n elements is determined explicitly to be the "symmetric" analogue of the free Poisson law.
A combinatorial proof of Andrews' smallest parts partition function.
Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
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-Carter partitions, their crystal-theoretic behavior and generating function.
Berg, Chris, Vazirani, Monica (2008)
The Electronic Journal of Combinatorics [electronic only]
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On some general problems in the theory of partitions, I
P Erdös, P. Turán (1971)
Acta Arithmetica
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Dominance order and graphical partitions.
Kohnert, Axel (2004)
The Electronic Journal of Combinatorics [electronic only]
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A stability property for coefficients in Kronecker products of complex characters.
Vallejo, Ernesto (2009)
The Electronic Journal of Combinatorics [electronic only]
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On base partitions and cover partitions of skew characters.
Gutschwager, Christian (2008)
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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On a conjecture of Andrews.
Padmavathamma, Sudha, T.G. (1993)
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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Parity indices of partitions
Kağan Kurşungöz (2010)
Acta Arithmetica
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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.