A new bijection on rooted forests (Q686461)
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scientific article; zbMATH DE number 428312
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new bijection on rooted forests |
scientific article; zbMATH DE number 428312 |
Statements
A new bijection on rooted forests (English)
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20 December 1993
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A semilabelled tree is a rooted tree with labelled leaves. Earlier, the author and \textit{L. A. Székely} [Adv. Appl. Math. 10, No. 4, 488-496 (1989; Zbl 0723.05046)] gave a bijection, involving antilexicographic order, between semilabelled trees and certain partitions. The author of the present paper extends this earlier work by giving a bijection between semilabelled forests and certain multisets. Various formulas for the number of semilabelled and labelled forests with certain properties follow readily as consequences of the bijection.
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enumeration
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semilabelled tree
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bijection
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partitions
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forests
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