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

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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).

Original languageEnglish
Pages (from-to)199-213
Number of pages15
JournalJournal of Algebraic Combinatorics
Issue number2
StatePublished - Mar 2011

Bibliographical note

Funding 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


Dive into the research topics of 'Dissimilarity maps on trees and the representation theory of SL m(ℂ)'. Together they form a unique fingerprint.

Cite this