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

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

2001-12-11

arxiv.org/abs/math/0112107v1

Mathematics

Combinatorics

10 pages

Scientific paper

We 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.

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