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- W2018695682 abstract "We study the statistics area, bounce and dinv on the set of parallelogram polyominoes having a rectangular m times n bounding box. We show that the bi-statistics (area,bounce) and (area,dinv) give rise to the same q,t-analogue of Narayana numbers which was introduced by two of the authors in [4]. We prove the main conjectures of that paper: the q,t-Narayana polynomials are symmetric in both q and t, and m and n. This is accomplished by providing a symmetric functions interpretation of the q,t-Narayana polynomials which relates them to the famous diagonal harmonics." @default.
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- W2018695682 date "2014-04-01" @default.
- W2018695682 modified "2023-10-03" @default.
- W2018695682 title "Statistics on parallelogram polyominoes and a<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi>q</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:math>-analogue of the Narayana numbers" @default.
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- W2018695682 doi "https://doi.org/10.1016/j.jcta.2013.09.001" @default.
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