On the relation between weighted trees and tropical Grassmannians
Algebraic Geometry
2009-03-12 v1 Combinatorics
Abstract
In this article, we will prove that the set of 4-dissimilarity vectors of n-trees is contained in the tropical Grassmannian G_{4,n}. We will also propose three equivalent conjectures related to the set of m-dissimilarity vectors of n-trees for the case m > 4. Using a computer algebra system, we can prove these conjectures for m = 5.
Cite
@article{arxiv.0903.2010,
title = {On the relation between weighted trees and tropical Grassmannians},
author = {Filip Cools},
journal= {arXiv preprint arXiv:0903.2010},
year = {2009}
}
Comments
11 pages, to appear in Journal of Symbolic Computation