Colored Prüfer codes for \(k\)-edge colored trees
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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
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/}
}
TY - JOUR AU - Manwon Cho AU - Dongsu Kim AU - Seunghyun Seo AU - Heesung Shin TI - Colored Prüfer codes for \(k\)-edge colored trees JO - The electronic journal of combinatorics PY - 2004 VL - 11 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.37236/1851/ DO - 10.37236/1851 ID - 10_37236_1851 ER -
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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