21 citations · 22 across the 3 of their papers we have counts for
3 papers
math.CO2018
Counting with Borel's Triangle
Yue Cai, Catherine Yan
Borel's triangle is an array of integers closely related to the classical Catalan numbers. In this paper we study combinatorial statistics counted by Borel's triangle. We present v…
math.CO2017★ 1 cited
-Stirling numbers revisited
Yue Cai, Richard Ehrenborg, Margaret A. Readdy
We give combinatorial proofs of -Stirling identities using restricted growth words. This includes a poset theoretic proof of Carlitz's identity, a new proof of the -Frobenius…
math.CO2015★ 21 cited
q-Stirling numbers: A new view
Yue Cai, Margaret A. Readdy
We show the classical -Stirling numbers of the second kind can be expressed compactly as a pair of statistics on a subset of restricted growth words. The resulting expressions a…