2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223056In 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 = 5.11 pages, to appear in Journal of Symbolic ComputationAlgebraic GeometryCombinatorics05C05, 05C12, 14M15text