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arXiv · 1709.05966

A bijection between phylogenetic trees and plane oriented recursive trees

Helmut Prodinger
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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.

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Helmut Prodinger. 2017-09-18. A bijection between phylogenetic trees and plane oriented recursive trees. https://arxiv.org/abs/1709.05966

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