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arXiv · 1812.08569

Counting and Enumerating Galled Networks

Andreas DM Gunawan·Jeyaram Rathin·Louxin Zhang
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Abstract

Galled trees are widely studied as a recombination model in population genetics. This class of phylogenetic networks is generalized into galled networks by relaxing a structural condition. In this work, a linear recurrence formula is given for counting 1-galled networks, which are galled networks satisfying the condition that each reticulate node has only one leaf descendant. Since every galled network consists of a set of 1-galled networks stacked one on top of the other, a method is also presented to count and enumerate galled networks.

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Andreas DM Gunawan, Jeyaram Rathin, Louxin Zhang. 2018-12-20. Counting and Enumerating Galled Networks. https://arxiv.org/abs/1812.08569

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