, Volume 33, Issue 2, pp 199-213,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 09 Jul 2010

Dissimilarity maps on trees and the representation theory of SL m (ℂ)


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 SL m (ℂ).

This work was supported by the NSF fellowship DMS-0902710.