18 citations · 61 across the 37 of their papers we have counts for
5 papers · 2 filters
Applicability of the -Analogue of Zeilberger's Algorithm
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
The applicability or terminating condition for the ordinary case of Zeilberger's algorithm was recently obtained by Abramov. For the -analogue, the question of whether a bivaria…
Weighted 2-Motzkin Paths
William Y. C. Chen, Sherry H. F. Yan, Laura L. M. Yang
This paper is motivated by two problems recently proposed by Coker on combinatorial identities related to the Narayana polynomials and the Catalan numbers. We find that a bijection…
Old and young leaves on plane trees
William Y. C. Chen, Emeric Deutsch, Sergi Elizalde
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 with a given…
Transformations of Border Strips and Schur Function Determinants
William Y. C. Chen, Guo-Guang Yan, Arthur L. B. Yang
We introduce the notion of the cutting strip of an outside decomposition of a skew shape, and show that cutting strips are in one-to-one correspondence with outside decompositions…
Reduction of -Regular Noncrossing Partitions
William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du
In this paper, we present a reduction algorithm which transforms -regular partitions of to -regular partitions of . We show that this algori…