Bordewich, M.Semple, C.Spillner, A.2009-08-102009-08-102009Bordewich, M., Semple, C., Spillner, A. (2009) Optimizing phylogenetic diversity across two trees. Applied Mathematics Letters, 22(5), pp. 638-641.0893-9659http://hdl.handle.net/10092/2665We 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.enPhylogenetic diversityJournal ArticleFields of Research::230000 Mathematical Sciences::230200 Statistics::230204 Applied statisticsFields of Research::230000 Mathematical Sciences::239900 Other Mathematical Sciences::239901 Biological Mathematicshttps://doi.org/10.1016/j.aml.2008.05.004