Copyright © 2006 Elsevier B.V. All rights reserved.
Note
On the edge l∞ radius of Saitou and Nei's method for phylogenetic reconstruction
Received 25 May 2006;
revised 28 August 2006;
accepted 30 August 2006.
Communicated by Ding-Zhu Du.
Available online 16 September 2006.
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Abstract
In this paper, we study the performance of Saitou and Nei's neighbor-joining method for phylogenetic reconstruction. We show that the edge l∞ radius of the method is . This improves an result by Atteson [The performance of neighbor-joining methods of phylogenetic reconstruction, Algorithmica 25 (1999) 251–278] and Xu et al. [A lower bound on the edge l∞ radius of Saitou and Nei's method for phylogenetic reconstruction, Inform. Process. Lett. 94(5) (2005) 225–230]. Previously, only an upper bound
and a lower bound
were known.
Keywords: Phylogenetic reconstruction; Neighbor-joining; Evolutionary trees







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