We prove that m-dissimilarity vectors of weighted trees are points on the tropical Grassmannian, as conjecture by Cools in response to a question of Sturmfels and Pachter. We accomplish this by relating m-dissimilarity vectors to the representation theory of SLm(ℂ).
|Number of pages||15|
|Journal||Journal of Algebraic Combinatorics|
|State||Published - Mar 2011|
Bibliographical noteFunding Information:
This work was supported by the NSF fellowship DMS-0902710.
- Representation theory
- Tropical geometry
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics