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The Nature Reserve Selection Problem is a problem that arises in the context of studying biodiversity conservation. Subject to budgetary constraints, the problem is to select a set of regions to conserve so that the phylogenetic diversity of the set of species contained within those regions is maximized. Recently, it was shown in a paper by Moulton {\\em et al.} that this problem is NP-hard. In this paper, we establish a tight polynomial-time approximation algorithm for the Nature Reserve Section Problem. Furthermore, we resolve a question on the computational complexity of a related problem left open in Moulton {\\em et al.}
Combinatorial algorithms, Trees
Magnus Bordewich, Charles Semple, "Nature Reserve Selection Problem: A Tight Approximation Algorithm", IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 5, no. , pp. 275-280, April-June 2008, doi:10.1109/TCBB.2007.70252
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