A lower bound on the edge l∞ radius of Saitou and Nei's method for phylogenetic reconstruction

Authors:
Yinfeng Xu;Wenqiang Dai;Binhai Zhu
Affiliations:
School of Management, Xi'an Jiaotong University, Xi'an, 710049, China and The State Key Lab for Manufacturing Systems Engineering, China;School of Management, Xi'an Jiaotong University, Xi'an, 710049, China;Department of Computer Science, Montana State University, Bozeman, MT 59717-3880, USA
Venue:
Information Processing Letters
Year:
2005

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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 at least 16. This partially answers a question by Atteson (1999). Previously, only an upper bound of 14 was known.