<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332023000100071</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v30i1.50357</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Adaptation of the closest tree method for a two state quartet to Jukes-Cantor tripod trees]]></article-title>
<article-title xml:lang="es"><![CDATA[Adaptación del método del árbol más cercano sobre un cuarteto de dos estados a tripodes tipo Jukes-Cantor]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Álvarez González]]></surname>
<given-names><![CDATA[Ernesto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Complutense de Madrid  Departamento de Geometría, Álgebra y Topología]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2023</year>
</pub-date>
<volume>30</volume>
<numero>1</numero>
<fpage>71</fpage>
<lpage>87</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332023000100071&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332023000100071&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332023000100071&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract We aim to fit 4-state sequences of DNA characters from three species to a tripod tree, whose evolutionary model is Jukes-Cantor. For this purpose, we adapt the closest tree method used in the fit of 2-state sequences coming from four species to a quartet, where the states are purines and pyrimidines and the evolutionary model is CFN. The adaptation requires a multi stage methodology called &#8216;reduction process&#8217;. We take the frequencies of 2-state character patterns on the quartet as parameters and search for solutions to the fit.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Nuestro objetivo es adaptar secuencias de caracteres de ADN con cuatro estados provenientes de tres especies a un árbol filogenético tipo trípode, cuyo modelo evolutivo es Jukes-Cantor. Para ello, adaptamos el método del árbol más cercano utilizado en el ajuste de secuencias de 2 estados provenientes de cuatro especies a un cuarteto, donde los estados son purinas y pirimidinas y el modelo evolutivo es CFN. La adaptación requiere una metodología de múltiples etapas llamada &#8216;proceso de reducción&#8217;. Tomamos las frecuencias de los patrones de caracteres de 2 estados en el cuarteto como parámetros y buscamos soluciones para el ajuste.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[closest tree method]]></kwd>
<kwd lng="en"><![CDATA[Hadamard conjugation]]></kwd>
<kwd lng="en"><![CDATA[phylogenetic reconstruction]]></kwd>
<kwd lng="en"><![CDATA[observed data fitting]]></kwd>
<kwd lng="en"><![CDATA[reduction process]]></kwd>
<kwd lng="en"><![CDATA[the Grobner cover algorithm.]]></kwd>
<kwd lng="es"><![CDATA[método del árbol más cercano]]></kwd>
<kwd lng="es"><![CDATA[conjugación de Hadamard]]></kwd>
<kwd lng="es"><![CDATA[ajuste de datos observados]]></kwd>
<kwd lng="es"><![CDATA[reconstrucción filogenética]]></kwd>
<kwd lng="es"><![CDATA[proceso de reducción]]></kwd>
<kwd lng="es"><![CDATA[algoritmo Grobner cover.]]></kwd>
</kwd-group>
</article-meta>
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