Journal of Algebraic Combinatorics

, Volume 33, Issue 2, pp 199–213

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

Open Access

DOI: 10.1007/s10801-010-0241-9

Cite this article as:
Manon, C. J Algebr Comb (2011) 33: 199. doi:10.1007/s10801-010-0241-9


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).


Tropical geometry Representation theory 
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© The Author(s) 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA

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