On the relation between weighted trees and tropical Grassmannians

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dc.creatorCools, Filip
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:51:38Z
dc.date.available2026-07-07T12:51:38Z
dc.descriptionIn 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.
dc.description11 pages, to appear in Journal of Symbolic Computation
dc.identifierhttps://arxiv.org/abs/0903.2010
dc.identifierhttp://arxiv.org/abs/0903.2010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223056
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject05C05, 05C12, 14M15
dc.titleOn the relation between weighted trees and tropical Grassmannians
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