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dc.contributor.authorCasanellas Rius, Marta
dc.contributor.authorFernández Sánchez, Jesús
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2010-11-30T11:56:10Z
dc.date.available2010-11-30T11:56:10Z
dc.date.issued2010-01
dc.identifier.urihttp://hdl.handle.net/2117/10465
dc.description.abstractRecently there have been several attempts to provide a whole set of generators of the ideal of the algebraic variety associated to a phylogenetic tree evolving under an algebraic model. These algebraic varieties have been proven to be useful in phylogenetics. In this paper we prove that, for phylogenetic reconstruction purposes, it is enough to consider generators coming from the edges of the tree, the so-called edge invariants. This is the algebraic analogous to Buneman's Splits Equivalence Theorem. The interest of this result relies on its potential applications in phylogenetics for the widely used evolutionary models such as Jukes-Cantor, Kimura 2 and 3 parameters, and General Markov models.
dc.format.extent36 p.
dc.language.isoeng
dc.relation.ispartofseries[prepr201010CasF]
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshPhylogenetic systematics
dc.subject.lcshAlgebraic varieties
dc.subject.otherphylogenetic invariants
dc.subject.otherphylogenetic varieties
dc.subject.othermolecular evolutionary models
dc.titleRelevant phylogenetic invariants of evolutionary models
dc.typeExternal research report
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
dc.subject.amsClassificació AMS::92 Biology and other natural sciences::92D Genetics and population dynamics
dc.subject.amsClassificació AMS::05 Combinatorics::05C Graph theory
dc.relation.publisherversionhttp://www.ma1.upc.edu/recerca/preprints/2010/prepr201001casanellas.pdf
dc.rights.accessOpen Access
local.identifier.drac4399690
dc.description.versionPreprint
local.personalitzacitaciotrue


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Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain