Colored Prüfer codes for \(k\)-edge colored trees
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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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.
DOI : 10.37236/1851
Classification : 05C05, 05C30
Mots-clés : combinatorial bijection, labelled trees
@article{10_37236_1851,
     author = {Manwon Cho and Dongsu Kim and Seunghyun Seo and Heesung Shin},
     title = {Colored {Pr\"ufer} codes for \(k\)-edge colored trees},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1851},
     zbl = {1060.05021},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1851/}
}
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Manwon Cho; Dongsu Kim; Seunghyun Seo; Heesung Shin. Colored Prüfer codes for \(k\)-edge colored trees. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1851

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