Optimizing phylogenetic diversity across two trees

Bordewich, M.; Semple, C.; Spillner, A.

Abstract

We present a polynomial-time algorithm for finding an optimal set of taxa that maximizes the weighted sum of the phylogenetic diversity across two phylogenetic trees. This resolves one of the challenges proposed as part of the Phylogenetics Programme held at the Isaac Newton Institute for Mathematical Sciences (Cambridge, 2007). It also completely closes the gap between optimizing phylogenetic diversity on one tree, which is known to be in P, and optimizing phylogenetic diversity across three or more trees, which is known to be NP-hard.

Citation

Bordewich, M., Semple, C., & Spillner, A. (2009). Optimizing phylogenetic diversity across two trees. Applied Mathematics Letters, 22(5), 638-641. https://doi.org/10.1016/j.aml.2008.05.004

• Journal Article Type: Article
• Publication Date: May 1, 2009
• Deposit Date: Dec 21, 2009
• Journal: Applied Mathematics Letters
• Print ISSN: 0893-9659
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 22
• Issue: 5
• Pages: 638-641
• DOI: https://doi.org/10.1016/j.aml.2008.05.004
• Keywords: Phylogenetic diversity.
• Public URL: https://durham-repository.worktribe.com/output/1524029