A derivation of the Catalan numbers from a bijection between permutations and labeled trees

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62866We present an algorithmic mapping from permutations of length dn to labeled n-node d-ary trees and back again. Given such a bijection, one can interpret each of the factorials in the formula for the Catalan numbers as a count of permutations.10 pagesCombinatoricsA derivation of the Catalan numbers from a bijection between permutations and labeled treestext