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Zbl 0848.05006
Panayotopoulos, A.; Sapounakis, A.
On binary trees and Dyck paths. (English)
[J] Math. Inf. Sci. Hum. 131, 39-51 (1995). ISSN 0995-2314

Summary: A bijection between the set of binary trees with $n$ vertices and the set of Dyck paths of length $2n$ is obtained. Two constructions are given which enable to pass from a Dyck path to a binary tree and from a binary tree to a Dyck path.
MSC 2000:
*05A15 Combinatorial enumeration problems
68R15 Combinatorics on words

Keywords: binary trees; Dyck paths

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