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<Text-field style="Heading 1" layout="Normal">teorema de Ramsey,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.  </Font>o teorema que para quaisquer dois positivos inteiros <Font italic="true">k</Font> e<Font italic="true"> l </Font>existe um inteiro <Font italic="true">R</Font>(<Font italic="true">k</Font>, <Font italic="true">l</Font>) tal que dado um simples <Hyperlink linktarget="Dictionary:Definition/graph" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">gr\303\241fico</Font></Hyperlink> com <Font italic="true">R</Font>(<Font italic="true">k</Font>, <Font italic="true">l</Font><Font encoding="UTF-8">) v\303\251rtices, ou o gr\303\241fico cont\303\251m um </Font><Hyperlink linktarget="Dictionary:Definition/clique" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">clique</Font></Hyperlink> de <Font italic="true"> k</Font><Font encoding="UTF-8"> v\303\251rtices (com todos os v\303\251rtices adjacentes) ou um conjunto independente com </Font><Font italic="true">l  </Font><Font encoding="UTF-8">v\303\251rtices (com nenhum v\303\251rtice adjacente). Estes inteiros </Font><Font italic="true">R</Font>(<Font italic="true">k</Font>, <Font italic="true">l</Font><Font encoding="UTF-8">) s\303\243o chamados <Font italic="true">n\303\272meros de Ramsey. </Font>  Determina\303\247\303\243o destes n\303\272meros \303\251 dif\303\255cil, mas \303\251 conhecido que</Font></Text-field>
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<Text-field style="Text" layout="Normal"> sendo </Text-field>
<Text-field style="2D Math" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font style="Text">,</Font></Text-field>
<Text-field style="2D Math" layout="Normal"><Font style="Text">sendo <Font italic="true">R</Font>(4, 4) = 18, e <Font italic="true">R</Font><Font encoding="UTF-8">(3, 3) = 6.  Assim, a partir de seis pessoas, deve haver tr\303\252s conhecidos ou tr\303\252s estranhos.</Font></Font></Text-field>
</Worksheet>