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Major Index for 01-Fillings of Moon Polyominoes
Major Index 01-Fillings Moon Polyominoes
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2014/6/3
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. We consider the set F(M...
Mixed Statistics on 01-Fillings of Moon Polyominoes
mixed statistic polyomino symmetric distribution
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2014/6/3
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 m columns. Consider ...