11 citations · 60 across the 21 of their papers we have counts for
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math.CO2019★ 5 cited
The Rank Enumeration of Certain Parabolic Non-Crossing Partitions
Christian Krattenthaler, Henri Mühle
We consider -divisible non-crossing partitions of with the property that for some no block contains more than one of the first integers. We giv…
math.CO2019★ 3 cited
-Indivisible Noncrossing Partitions
Henri Mühle, Philippe Nadeau, Nathan Williams
For a fixed integer , we consider the set of noncrossing partitions, where both the block sizes and the difference between adjacent elements in a block is . We show th…
math.CO2019★ 7 cited
The Steep-Bounce Zeta Map in Parabolic Cataland
Cesar Ceballos, Wenjie Fang, Henri Mühle
As a classical object, the Tamari lattice has many generalizations, including -Tamari lattices and parabolic Tamari lattices. In this article, we unify these generalizations in…