1 citations · 2 across the 6 of their papers we have counts for
6 papers
Pattern Count on Multiply Restricted Permutations
Alina F. Y. Zhao
Previous work has studied the pattern count on singly restricted permutations. In this work, we focus on patterns of length 3 in multiply restricted permutations, especially for do…
A Combinatorial Proof of the Enumeration of Alternating Permutations with Given Peak Set
Alina F. Y. Zhao
Using the correspondence between a cycle up-down permutation and a pair of matchings, we give a combinatorial proof of the enumeration of alternating permutations according to the…
Partitions and Partial Matchings Avoiding Neighbor Patterns
William Y. C. Chen, Neil J. Y. Fan, Alina F. Y. Zhao
We obtain the generating functions for partial matchings avoiding neighbor alignments and for partial matchings avoiding neighbor alignments and left nestings. We show that there i…
Identities Derived from Noncrossing Partitions of Type B
William Y. C. Chen, Andrew Y. Z. Wang, Alina F. Y. Zhao
Based on weighted noncrossing partitions of type B, we obtain type B analogues of Coker's identities on the Narayana polynomials. A parity reversing involution is given for the alt…
Mixed Statistics on 01-Fillings of Moon Polyominoes
William Y. C. Chen, Andrew Y. Z. Wang, Catherine H. Yan +1
We establish a stronger symmetry between the numbers of northeast and southeast chains in the context of 01-fillings of moon polyominoes. Let $\M$ be a moon polyomino with rows…
Derangement Polynomials and Excedances of Type B
William Y. C. Chen, Robert L. Tang, Alina F. Y. Zhao
Adopting the definition of excedances of type B due to Brenti, we give a type B analogue of the q-derangement polynomials. The connection between q-derangement polynomials and Eule…