# Nature reserve selection problem : a tight approximation algorithm.

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- IEEE
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## Abstract

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 be conserved so that the phylogenetic diversity of the set of species contained within those regions is maximized. Recently, it has been shown in a paper by Moulton 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 by Moulton et al.

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