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Approximating geodesic tree distance. (English) Zbl 1184.68658
Summary: Billera, Holmes, and Vogtmann introduced an intriguing new phylogenetic tree metric for weighted trees with useful properties related to statistical analysis. However, the best known algorithm for calculating this distance is exponential in the number of leaves of the trees compared. We point out that lower and upper bounds for this distance, which can be calculated in linear time, can differ by at most a multiplicative factor of \(\sqrt 2\).

MSC:
68W40 Analysis of algorithms
Software:
PAUP*; MrBayes
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