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math.CO2024
The immersion poset on partitions
Lisa Johnston, David Kenepp, Evuilynn Nguyen +4
We introduce the immersion poset on partitions, defined by if and only if is monomi…
math.CO2022★ 1 cited
The Burge correspondence and crystal graphs
Joseph Pappe, Digjoy Paul, Anne Schilling
The Burge correspondence yields a bijection between simple labelled graphs and semistandard Young tableaux of threshold shape. We characterize the simple graphs of hook shape by pe…
math.CO2021★ 1 cited
An area-depth symmetric -Catalan polynomial
Joseph Pappe, Digjoy Paul, Anne Schilling
We define two symmetric -Catalan polynomials in terms of the area and depth statistic and in terms of the dinv and dinv of depth statistics. We prove symmetry using an involut…