Tropical Grassmannian and Tropical Linear Varieties from phylogenetic trees
arXiv:1312.0752
Abstract
In this paper we study tropicalization of Grassmannian and linear varieties. In particular, we study the tropical linear spaces cor- responding to the phylogenetic trees. We prove that corresponding to each subtree of the phylogenetic tree there is a point on the tropical grassmannian. We deduce a necessary and sufficient condition for it to be on the facet of the tropical linear space.
This paper has been withdrawn by the authors because authors came to know that the masters thesis of B. Iriarte (2010) subsumes the results presented in this paper. The authors regret this mistake