


On the combinatorics of a family of generalized Catalan triangles



Description: 
We generalize Aigner's array of the ballot numbers to a family of Riordan arrays. The entries of these generalized Catalan triangles are homogeneous polynomials in two variables which interpolate between the ballot numbers and the binomial coefficients. We show that the generalized Pascal triangle as well as the Catalan arrays introduced by Shapiro, Aigner, Radoux, He, or Yang are all special members of this wide family of Catalan triangles. Moreover, as an application, we deal with the enumeration of noncrossing partitions. This is joint work with Jose Agapito, Pasquale Petrullo, and Maria M. Torres.

Date: 
20171115

Start Time: 
15:00 
Speaker: 
Angela Mestre (Univ. Lisboa)

Institution: 
Universidade de Lisboa

Place: 
Room 5.5, Department of Mathematics, U.C.

Research Groups: 
Algebra and Combinatorics

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