Colored Prüfer codes for \(k\)-edge colored trees (Q1773178)
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scientific article; zbMATH DE number 2161291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Colored Prüfer codes for \(k\)-edge colored trees |
scientific article; zbMATH DE number 2161291 |
Statements
Colored Prüfer codes for \(k\)-edge colored trees (English)
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25 April 2005
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Summary: A combinatorial bijection between \(k\)-edge colored trees and colored Prüfer codes for labelled trees is established. This bijection gives a simple combinatorial proof for the number \(k(n-2)!{nk-n\choose n-2}\) of \(k\)-edge colored trees with \(n\) vertices.
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combinatorial bijection
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labelled trees
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