A New Combinatorial Identity for Catalan Numbers

Date

2017-10-01

Author

Aker, Kursat
Gursoy, Aysin Erkan

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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.

Subject Keywords

Catalan numbers, Parking functions, Generating functions, Dyck path, Bijection, Necklace

URI

https://hdl.handle.net/11511/64830

Journal

ARS COMBINATORIA

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

K. Aker and A. E. Gursoy, “A New Combinatorial Identity for Catalan Numbers,” ARS COMBINATORIA, pp. 391–398, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64830.