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» Bijections for Hook Pair Identities
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COMBINATORICS
2000
96views more  COMBINATORICS 2000»
13 years 4 months ago
Bijections for Hook Pair Identities
Short, bijective proofs of identities for multisets of `hook pairs' (arm-leg pairs) of the cells of certain diagrams are given. These hook pair identities were originally foun...
Christian Krattenthaler
COMBINATORICS
2006
116views more  COMBINATORICS 2006»
13 years 4 months ago
Classifying Descents According to Equivalence mod k
In [5] the authors refine the well-known permutation statistic "descent" by fixing parity of one of the descent's numbers. In this paper, we generalize the results o...
Sergey Kitaev, Jeffrey B. Remmel
EJC
2006
13 years 4 months ago
Old and young leaves on plane trees
Abstract. A leaf of a plane tree is called an old leaf if it is the leftmost child of its parent, and it is called a young leaf otherwise. In this paper we enumerate plane trees wi...
William Y. C. Chen, Emeric Deutsch, Sergi Elizalde