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COMBINATORICS
2004
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13 years 10 months ago
A Combinatorial Proof of the Sum of q-Cubes
We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes.
Kristina C. Garrett, Kristen Hummel
JCT
2006
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13 years 11 months ago
A combinatorial proof of the Rogers-Ramanujan and Schur identities
We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direc...
Cilanne Boulet, Igor Pak
JAL
2006
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13 years 11 months ago
An algorithmic sign-reversing involution for special rim-hook tableaux
Egecioglu and Remmel [2] gave an interpretation for the entries of the inverse Kostka matrix K-1 in terms of special rim-hook tableaux. They were able to use this interpretation to...
Bruce E. Sagan, Jaejin Lee
EJC
2008
13 years 11 months ago
On Postnikov's hook length formula for binary trees
We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
William Y. C. Chen, Laura L. M. Yang