Efficient Reconstruction of Arboreal Networks

Katharina T. Huber; Katherine St. John

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arXiv · 2605.01044

Efficient Reconstruction of Arboreal Networks

Katharina T. Huber·Katherine St. John

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Abstract

Arboreal networks are multi-rooted phylogenetic networks whose underlying graph is a tree. We give an encoding of stack-free arboreal networks in terms of triplets and the novel concept of a duet. This yields a polynomial time algorithm to construct these networks from complete triplet and duet systems. The classification results show correctness and lead to a natural metric on these multi-rooted networks.

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Katharina T. Huber, Katherine St. John. 2026-05-01. Efficient Reconstruction of Arboreal Networks. https://arxiv.org/abs/2605.01044

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