<?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>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2025000200027</article-id>
<article-id pub-id-type="doi">10.18273/revint.v43n2-2025003</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Alexander-Conway and bracket polynomials of a family of pretzel links]]></article-title>
<article-title xml:lang="es"><![CDATA[Polinomios de Alexander-Conway y bracket de una familia de enlaces pretzel]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández-Flores]]></surname>
<given-names><![CDATA[Alan]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Montoya-Vega]]></surname>
<given-names><![CDATA[Gabriel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Puerto Rico Department of Mathematics ]]></institution>
<addr-line><![CDATA[San Juan ]]></addr-line>
<country>Puerto Rico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2025</year>
</pub-date>
<volume>43</volume>
<numero>2</numero>
<fpage>27</fpage>
<lpage>43</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2025000200027&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2025000200027&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2025000200027&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract. Polynomial invariants constitute a dynamic and essential area of study in knot theory. From the pioneer Alexander polynomial, the revolutionary Jones polynomial, to the collectively discovered HOMFLYPT polynomial (just to mention a few), these algebraic expressions have been central to the understanding of knots and links. Even more with the recent introduction of Khovanov homology that has sparked significant interest in the categorification of these polynomials, offering deeper insights into their topological and algebraic properties. In this work, we revisit two prominent polynomial invariants-the Alexander-Conway and the Kauffman bracket-and focus specifically on the polynomials associated with the family of three-strand pretzel links P (1, 1, n).  MSC2020:  57M25, 57M27, 57M99.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen   Los invariantes polinómicos constituyen un área dinámica y esencial de estudio en la teoría de nudos. Desde el polinomio de Alexander, el revolucionario polinomio de Jones, hasta el polinomio HOMFLYPT, descubierto colectivamente (por mencionar solo algunos), estas expresiones algebraicas han sido fundamentales para la comprensión de nudos y enlaces. Aún más con la reciente introducción de la homología de Khovanov, que ha despertado un gran interés en la categorización de estos polinomios y ofrece una visión más profunda de sus propiedades topológicas y algebraicas. En este trabajo, revisamos dos prominentes invariantes polinómicos: el Alexander-Conway y el bracket, y nos enfocamos específicamente en los polinomios asociados con la familia de enlaces pretzel de tres hebras P (1, 1, n).]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Knots and links]]></kwd>
<kwd lng="en"><![CDATA[pretzel links]]></kwd>
<kwd lng="en"><![CDATA[Alexander-Conway polynomial]]></kwd>
<kwd lng="en"><![CDATA[Kauffman bracket polynomial]]></kwd>
<kwd lng="es"><![CDATA[Nudos y enlaces]]></kwd>
<kwd lng="es"><![CDATA[enlaces pretzel]]></kwd>
<kwd lng="es"><![CDATA[polinomio de Alexander- Conway]]></kwd>
<kwd lng="es"><![CDATA[polinomio bracket]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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