Approximating geodesic tree distance

Authors:
Nina Amenta;Matthew Godwin;Nicolay Postarnakevich;Katherine St. John
Affiliations:
Computer Science Department, University of California, Davis, 2063 Engineering II, One Sheilds Ave, Davis, CA 95616, USA;Computer Science Department, University of California, Davis, 2063 Engineering II, One Sheilds Ave, Davis, CA 95616, USA;Computer Science Department, University of California, Davis, 2063 Engineering II, One Sheilds Ave, Davis, CA 95616, USA;Department of Mathematics & Computer Science, Lehman College--City University of New York, Bronx, NY 12581, USA and Computer Science Department, CUNY Graduate Center, New York, NY 10016, USA
Venue:
Information Processing Letters
Year:
2007

Citing 2
Cited 2

Regular Article: Geometry of the Space of Phylogenetic Trees

Advances in Applied Mathematics
Case Study: Visualizing Sets of Evolutionary Trees

INFOVIS '02 Proceedings of the IEEE Symposium on Information Visualization (InfoVis'02)

A Fast Algorithm for Computing Geodesic Distances in Tree Space

IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Computing Geodesic Distances in Tree Space

SIAM Journal on Discrete Mathematics

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Abstract

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 2.