Increasing and Decreasing Sequences of Length Two in 01-Fillings of Moon Polyominoes

Details Increasing and Decreasing Sequences of Length Two in 01-Fillings of Moon Polyominoes Increasing and Decreasing Sequences of Length Two in 01-Fillings of Moon Polyominoes

2008-12-03

arxiv.org/abs/0812.0799v1

Mathematics

Combinatorics

It is a updated version of a preprint entitled "On the symmetry of ascents and descents over 01-fillings of moon polyominoes".

Scientific paper

We put recent results on the symmetry of the joint distribution of the
numbers of crossings and nestings of two edges over matchings, set partitions
and linked partitions, in the larger context of the enumeration of increasing
and decreasing chains of length 2 in fillings of moon polyominoes.

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