15 citations · 35 across the 24 of their papers we have counts for
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math.CO2012★ 3 cited
Counting Dyck paths by area and rank
Saul A. Blanco, T. Kyle Petersen
The set of Dyck paths of length inherits a lattice structure from a bijection with the set of noncrossing partitions with the usual partial order. In this paper, we study the…
math.CO2012★ 2 cited
How to write a permutation as a product of involutions (and why you might care)
T. Kyle Petersen, Bridget Eileen Tenner
It is well-known that any permutation can be written as a product of two involutions. We provide an explicit formula for the number of ways to do so, depending only on the cycle ty…