<?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>0874-5161</journal-id>
<journal-title><![CDATA[Investigação Operacional]]></journal-title>
<abbrev-journal-title><![CDATA[Inv. Op.]]></abbrev-journal-title>
<issn>0874-5161</issn>
<publisher>
<publisher-name><![CDATA[APDIO - Associação Portuguesa de Investigação Operacional]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0874-51612004000200006</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Graph-Based Structures for the Market Baskets Analysis]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cavique]]></surname>
<given-names><![CDATA[Luís]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Instituto Politécnico de Lisboa Escola Superior de Comunicação Social ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidade Técnica de Lisboa Instituto Superior Técnico ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Portugal</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2004</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2004</year>
</pub-date>
<volume>24</volume>
<numero>2</numero>
<fpage>233</fpage>
<lpage>246</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_arttext&amp;pid=S0874-51612004000200006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_abstract&amp;pid=S0874-51612004000200006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_pdf&amp;pid=S0874-51612004000200006&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The market basket is defined as an itemset bought together by a customer on a single visit to a store. The market basket analysis is a powerful tool for the implementation of cross-selling strategies. Although some algorithms can find the market basket, they can be inefficient in computational time. The aim of this paper is to present a faster algorithm for the market basket analysis using data-condensed structures. In this innovative approach, the condensed data is obtained by transforming the market basket problem in a maximum-weighted clique problem. Firstly, the input data set is transformed into a graph-based structure and then the maximum-weighted clique problem is solved using a meta-heuristic approach in order to find the most frequent itemsets. The computational results show accurate solutions with reduced computational times.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[data mining]]></kwd>
<kwd lng="en"><![CDATA[market basket]]></kwd>
<kwd lng="en"><![CDATA[similarity measures]]></kwd>
<kwd lng="en"><![CDATA[maximum clique problem]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="center"><b>Graph-Based Structures for the Market Baskets Analysis</b></p>     <p align="center">&nbsp;</p>     <p align="center">Lu&iacute;s Cavique &#8224; &nbsp;     <p align="center"> &#8224; ESCS-IPL / IST-UTL Portugal      <p align="center"><a href="mailto:lcavique@escs.ipl.pt">lcavique@escs.ipl.pt</a></p>     <p align="center">&nbsp;</p>        <p><b>Abstract:</b></p>      <p>The market basket is defined as an itemset bought together by a customer on    a single visit to a store. The market basket analysis is a powerful tool for    the implementation of cross-selling strategies. Although some algorithms can    find the market basket, they can be inefficient in computational time. The aim    of this paper is to present a faster algorithm for the market basket analysis    using data-condensed structures. In this innovative approach, the condensed    data is obtained by transforming the market basket problem in a maximum-weighted    clique problem. Firstly, the input data set is transformed into a graph-based    structure and then the maximum-weighted clique problem is solved using a meta-heuristic    approach in order to find the most frequent itemsets. The computational results    show accurate solutions with reduced computational times.</p>     <p><b>Keywords:</b> data mining, market basket, similarity measures, maximum clique    problem. </p>     <p>&nbsp;</p>     ]]></body>
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