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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...
A Major Index for Matchings and Set Partitions
tangled-diagram partition matching crossing nesting vacillating tableau
2014/6/3
A tangled diagram on [n] = {1,..., n} is a labeled graph for which each vertex has degree at most two. The vertices are arranged in increasing order on a horizontal line and the arcs are drawn in the ...
A Major Index for Matchings and Set Partitions
tangled-diagram partition matching crossing nesting vacillating tableau
2014/6/3
A tangled diagram on [n] = {1,..., n} is a labeled graph for which each vertex has degree at most two. The vertices are arranged in increasing order on a horizontal line and the arcs are drawn in the ...