<?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>S0120-419X2022000100077</article-id>
<article-id pub-id-type="doi">10.18273/revint.v40n1-2022004</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A new sum of graphs and caterpillar trees]]></article-title>
<article-title xml:lang="es"><![CDATA[Una nueva suma de grafos y árboles oruga]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[HUAMANÍ]]></surname>
<given-names><![CDATA[N. B.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[NASCIMENTO]]></surname>
<given-names><![CDATA[JOICE S. DO]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[CONDORI]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de San Cristóbal de Huamanga Departamento de Matemática y Física, Ayacucho ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Peru</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Univerdidade do Estado do Rio de Janeiro  ]]></institution>
<addr-line><![CDATA[Rio de Janeiro ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Nacional de San Cristóbal de Huamanga Departamento de Matemática y Física, Ayacucho ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Peru</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<volume>40</volume>
<numero>1</numero>
<fpage>77</fpage>
<lpage>85</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2022000100077&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2022000100077&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2022000100077&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract. Caterpillar trees, or simply Caterpillar, are trees such that when we remove all their leaves (or end edge) we obtain a path. The number of nonisomorphic caterpillars with n &#8805; 2 edges is 2 n&#8722;3 + 2 &#8970;(n&#8722;3)/2&#8971; . Using a new sum of graphs, introduced in this paper, we provided a new proof of this result.  MSC2010:  05C30, 05C76, 05C05, 05C60.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen. Árboles oruga, o simplemente oruga, son árboles tales que cuando les quitamos todas sus ramas (o arista final) obtenemos un camino. La cantidad de orugas no isomorfas con n &#8805; 2 aristas es 2 n&#8722;3 + 2 &#8970;(n&#8722;3)/2&#8971; . Usando una nueva suma de grafos, introducida en este artículo, proporcionamos una nueva prueba de este resultado.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Graph]]></kwd>
<kwd lng="en"><![CDATA[Caterpillar trees]]></kwd>
<kwd lng="en"><![CDATA[tree graphs]]></kwd>
<kwd lng="en"><![CDATA[sum of graphs]]></kwd>
<kwd lng="es"><![CDATA[Grafo]]></kwd>
<kwd lng="es"><![CDATA[árboles oruga]]></kwd>
<kwd lng="es"><![CDATA[grafo árbol]]></kwd>
<kwd lng="es"><![CDATA[suma de grafos]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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