A bijection between phylogenetic trees and plane oriented recursive trees
Combinatorics
2017-09-19 v1
Abstract
Phylogenetic trees are binary nonplanar trees with labelled leaves, and plane oriented recursive trees are planar trees with an increasing labelling. Both families are enumerated by double factorials. A bijection is constructed, using the respective representations a 2-partitions and trapezoidal words.
Cite
@article{arxiv.1709.05966,
title = {A bijection between phylogenetic trees and plane oriented recursive trees},
author = {Helmut Prodinger},
journal= {arXiv preprint arXiv:1709.05966},
year = {2017}
}