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Communities & Collections
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A New Combinatorial Identity for Catalan Numbers
Date
2017-10-01
Author
Aker, Kursat
Gursoy, Aysin Erkan
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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