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math.CO2016
New Combinatorial Formulas for Cluster Monomials of Type A Quivers
Kyungyong Lee, Li Li, Ba Nguyen
Lots of research focuses on the combinatorics behind various bases of cluster algebras. This paper studies the natural basis of a type A cluster algebra, which consists of all clus…
math.CO2016
A Combinatorial Approach to the Symmetry of -Catalan Numbers
Kyungyong Lee, Li Li, Nicholas A. Loehr
The \emph{-Catalan numbers} are polynomials in and that reduce to the ordinary Catalan numbers when . These polynomials have important connections to…