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COMBINATORICS
2004
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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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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 7 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 7 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