Tropical mixtures of star tree metrics

Details Tropical mixtures of star tree metrics Tropical mixtures of star tree metrics

2009-07-13

arxiv.org/abs/0907.2053v2

Mathematics

Algebraic Geometry

19 pages, 5 figures. Major revision of the exposition following suggestions by the referee. To appear in Annals of Combinatori

Scientific paper

We study tree metrics that can be realized as a mixture of two star tree metrics. We prove that the only trees admitting such a decomposition are the ones coming from a tree with at most one internal edge, and whose weight satisfies certain linear inequalities. We also characterize the fibers of the corresponding mixture map. In addition, we discuss the general framework of tropical secant varieties and we interpret our results within this setting. Finally, we show that the set of tree metric ranks of metrics on $n$ taxa is unbounded.

Affiliated with

Also associated with

No associations

Rating

Tropical mixtures of star tree metrics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tropical mixtures of star tree metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tropical mixtures of star tree metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100092