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math.CO2009★ 1 cited
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…
math.CO2009
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…