Catherine H. Yan

most citedCrossings and Nestings of Matchings and Partitions

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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…

math.CO2007

Lattice and Schroder paths with periodic boundaries

Joseph P. S. Kung, Anna de Mier, Xinyu Sun +1

We consider paths in the plane with $(1, 0),$ $(0, 1),$ and $(a, b)$ -steps that start at the origin, end at height $n,$ and stay to the left of a given non-decreasing right boundary.…