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Relevant phylogenetic invariants of evolutionary models
dc.contributor.author | Casanellas Rius, Marta |
dc.contributor.author | Fernández Sánchez, Jesús |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2010-11-30T11:56:10Z |
dc.date.available | 2010-11-30T11:56:10Z |
dc.date.issued | 2010-01 |
dc.identifier.uri | http://hdl.handle.net/2117/10465 |
dc.description.abstract | Recently 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.extent | 36 p. |
dc.language.iso | eng |
dc.relation.ispartofseries | [prepr201010CasF] |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Phylogenetic systematics |
dc.subject.lcsh | Algebraic varieties |
dc.subject.other | phylogenetic invariants |
dc.subject.other | phylogenetic varieties |
dc.subject.other | molecular evolutionary models |
dc.title | Relevant phylogenetic invariants of evolutionary models |
dc.type | External research report |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties |
dc.subject.ams | Classificació AMS::92 Biology and other natural sciences::92D Genetics and population dynamics |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.relation.publisherversion | http://www.ma1.upc.edu/recerca/preprints/2010/prepr201001casanellas.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 4399690 |
dc.description.version | Preprint |
local.personalitzacitacio | true |
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