Svetlana Poznanovik

activity

20072014

most citedCrossings and Nestings of Two Edges in Set Partitions

4 citations · 6 across the 4 of their papers we have counts for

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math.CO2014

Maximal increasing sequences in fillings of almost-moon polyominoes

Svetlana Poznanovik, Catherine H. Yan

It was proved by Rubey that the number of fillings with zeros and ones of a given moon polyomino that do not contain a northeast chain of size $k$ depends only on the set of column…

math.CO2012

Cycles and sorting index for matchings and restricted permutations

Svetlana Poznanovik

We prove that the Mahonian-Stirling pairs of permutation statistics $(\sor, \cyc)$ and $(\inv, \mathrm{rlmin})$ are equidistributed on the set of permutations that correspond to ar…

math.CO2007★ 4 cited

Crossings and Nestings of Two Edges in Set Partitions

Svetlana Poznanovik, Catherine Yan

Let $π$ and $λ$ be two set partitions with the same number of blocks. Assume $π$ is a partition of $[n]$ . For any integer $l, m \geq 0$ , let $T (π, l)$ be the set of parti…