A New Combinatorial Identity for Catalan Numbers

Aker, Kursat
Gursoy, Aysin Erkan
In this article, we prove a conjecture about the equality of two generating functions described in "From Parking Functions to Gelfand Pairs (Aker, Can 2012)" attached to two sets whose cardinalities are given by Catalan numbers: We establish a combinatorial bijection between the two sets on which the two generating functions were based on.
Citation Formats
K. Aker and A. E. Gursoy, “A New Combinatorial Identity for Catalan Numbers,” pp. 391–398, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64830.