Abstract
Network reconstruction lies at the heart of phylogenetic research. Two well-studied classes of phylogenetic networks include tree-child networks and level-k networks. In a tree-child network, every non-leaf node has a child that is a tree node or a leaf. In a level-k network, the maximum number of reticulations contained in a biconnected component is k. Here, we show that level-k tree-child networks are encoded by their reticulate-edge-deleted subnetworks, which are subnetworks obtained by deleting a single reticulation edge, if k≥ 2. Following this, we provide a polynomial-time algorithm for uniquely reconstructing such networks from their reticulate-edge-deleted subnetworks. Moreover, we show that this can even be done when considering subnetworks obtained by deleting one reticulation edge from each biconnected component with k reticulations.
Original language | English |
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Pages (from-to) | 3823-3863 |
Number of pages | 41 |
Journal | Bulletin of Mathematical Biology |
Volume | 81 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2019 |
Bibliographical note
greenKeywords
- Network encoding
- Phylogenetic network
- Reticulate-edge-deleted subnetworks
- Tree-child networks