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JCT
2010
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13 years 11 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
69views more  SIAMDM 2008»
14 years 2 days 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