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arXiv · 2105.10137

Bijections for Ranked Tree-Child Networks

Alessandra Caraceni·Michael Fuchs·Guan-Ru Yu
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Abstract

The class of ranked tree-child networks, tree-child networks arising from an evolution process with a fixed embedding into the plane, has recently been introduced by Bienvenu, Lambert, and Steel. These authors derived counting results for this class. In this note, we will give bijective proofs of three of their results. Two of our bijections answer questions raised in their paper.

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Alessandra Caraceni, Michael Fuchs, Guan-Ru Yu. 2022-01-14. Bijections for Ranked Tree-Child Networks. https://arxiv.org/abs/2105.10137

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