Maximum Covering Subtrees for Phylogenetic Networks

Bibliographic Details
Title: Maximum Covering Subtrees for Phylogenetic Networks
Authors: Davidov, Nathan, Hernandez, Amanda, Jian, Justin, McKenna, Patrick, Medlin, K. A., Mojumder, Roadra, Owen, Megan, Quijano, Andrew, Rodriguez, Amanda, John, Katherine St., Thai, Katherine, Uraga, Meliza
Publication Year: 2020
Collection: Computer Science
Quantitative Biology
Subject Terms: Quantitative Biology - Populations and Evolution, Computer Science - Data Structures and Algorithms
More Details: Tree-based phylogenetic networks, which may be roughly defined as leaf-labeled networks built by adding arcs only between the original tree edges, have elegant properties for modeling evolutionary histories. We answer an open question of Francis, Semple, and Steel about the complexity of determining how far a phylogenetic network is from being tree-based, including non-binary phylogenetic networks. We show that finding a phylogenetic tree covering the maximum number of nodes in a phylogenetic network can be be computed in polynomial time via an encoding into a minimum-cost maximum flow problem.
Document Type: Working Paper
DOI: 10.1109/TCBB.2020.3040910
Access URL: http://arxiv.org/abs/2009.12413
Accession Number: edsarx.2009.12413
Database: arXiv
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  Data: Tree-based phylogenetic networks, which may be roughly defined as leaf-labeled networks built by adding arcs only between the original tree edges, have elegant properties for modeling evolutionary histories. We answer an open question of Francis, Semple, and Steel about the complexity of determining how far a phylogenetic network is from being tree-based, including non-binary phylogenetic networks. We show that finding a phylogenetic tree covering the maximum number of nodes in a phylogenetic network can be be computed in polynomial time via an encoding into a minimum-cost maximum flow problem.
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