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arXiv · 2504.16302

Enumerative combinatorics of unlabeled and labeled time-consistent galled trees

Lily Agranat-Tamir·Michael Fuchs·Bernhard Gittenberger·Noah A. Rosenberg
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Abstract

In mathematical phylogenetics, the time-consistent galled trees provide a simple class of rooted binary network structures that can be used to represent a variety of different biological phenomena. We study the enumerative combinatorics of unlabeled and labeled time-consistent galled trees. We present a new derivation via the symbolic method of the number of unlabeled time-consistent galled trees with a fixed number of leaves and a fixed number of galls. We also derive new generating functions and asymptotics for labeled time-consistent galled trees.

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Lily Agranat-Tamir, Michael Fuchs, Bernhard Gittenberger, Noah A. Rosenberg. 2025-04-22. Enumerative combinatorics of unlabeled and labeled time-consistent galled trees. https://arxiv.org/abs/2504.16302

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