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COMBINATORICS
2000
96views more  COMBINATORICS 2000»
13 years 10 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 11 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 11 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