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SIAMDM
2010
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12 years 11 months ago
Mixed Statistics on 01-Fillings of Moon Polyominoes
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 n rows and...
William Y. C. Chen, Andrew Y. Z. Wang, Catherine H...
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...