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JCT
2010
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13 years 3 months ago
Major index for 01-fillings of moon polyominoes
We propose a major index statistic on 01-fillings of moon polyominoes which, when specialized to certain shapes, reduces to the major index for permutations and set partitions. W...
William Y. C. Chen, Svetlana Poznanovic, Catherine...
SIAMDM
2008
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13 years 4 months ago
Labeled Partitions and the q-Derangement Numbers
Inspired by MacMahon's original proof of his celebrated theorem on the distribution of the major index over permutations, we give a reformulation of his argument in terms of l...
William Y. C. Chen, Deheng Xu