The rectilinear Steiner problem is the problem of constructing the shortest rectilinear network in the plane connecting a given set of points, called terminals. The problem is known to be NP-complete in general. In this paper, we show that there is a polynomial time algorithm for solving the rectili
✦ LIBER ✦
A novel approach to phylogenetic trees: d-Dimensional geometric Steiner trees
✍ Scribed by M. Brazil; D.A. Thomas; B.K. Nielsen; P. Winter; C. Wulff-Nilsen; M. Zachariasen
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 146 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0028-3045
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✦ Synopsis
Abstract
We suggest a novel distance‐based method for the determination of phylogenetic trees. It is based on multidimensional scaling and Euclidean Steiner trees in high‐dimensional spaces. Preliminary computational experience shows that the use of Euclidean Steiner trees for finding phylogenetic trees is a viable approach. Experiments also indicate that the new method is comparable with results produced by neighbor joining (Saitou and Nei, Mol Biol Evol 4 (1987), 406–425). © 2008 Wiley Periodicals, Inc. NETWORKS, 2009
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