A new bijection between ordered trees and legal bracketings (Q1815397)
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scientific article; zbMATH DE number 944207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new bijection between ordered trees and legal bracketings |
scientific article; zbMATH DE number 944207 |
Statements
A new bijection between ordered trees and legal bracketings (English)
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16 December 1996
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The Catalan numbers are known to enumerate the legal bracketings of length \(n\), as well as the ordered trees with \(n+1\) vertices. This paper examines a new bijection between these objects, which has interesting combinatorial properties. This new bijection is shown to provide a connection between the classical (legal bracketing/ordered trees) bijection and another recently discovered bijection.
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ordered trees
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Catalan numbers
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legal bracketings
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bijection
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