<?xml version="1.0" encoding="UTF-8"?>
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<Task>
</Task>
<Text-field style="Heading 1" layout="Heading 1">componentes fortemente conectadas (strongly connected components),</Text-field>
<Text-field style="Normal" layout="Normal"><Font style="Help Emphasized">n.</Font><Font encoding="UTF-8"> a decomposi\303\247\303\243o de um </Font><Hyperlink linktarget="Dictionary:Definition/graph" hyperlink="true"><Font style="Dictionary Hyperlink">grafo</Font></Hyperlink><Font encoding="UTF-8"> dirigido (directed graph) em conjuntos de v\303\251rtices (</Font><Font style="Help Emphasized">componentes</Font><Font encoding="UTF-8">) em que \303\251 poss\303\255vel atingir qualquer v\303\251rtice de qualquer outro v\303\251rtice no mesmo conjunto (componente).</Font></Text-field>
<Text-field style="Normal" layout="Normal">Por exemplo, o grafo dirigido:</Text-field>
<Text-field style="Normal" layout="Normal"><Equation executable="false" style="Normal" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">com v\303\251rtices </Font><Font italic="true">A</Font>, <Font italic="true">B</Font>, <Font italic="true">C</Font>, e <Font italic="true">D</Font> e arestas {(<Font italic="true">A</Font>,<Font italic="true">B</Font>), (<Font italic="true">A</Font>,<Font italic="true">D</Font>), (<Font italic="true">B</Font>,<Font italic="true">A</Font>), (<Font italic="true">B</Font>,<Font italic="true">C</Font>), (<Font italic="true">C</Font>,<Font italic="true">D</Font>), (<Font italic="true">D</Font>,<Font italic="true">C</Font>)} possui 2 componentes fortemente conectadas, {<Font italic="true">A</Font>,<Font italic="true">B</Font>} e {<Font italic="true">C</Font>,<Font italic="true">D</Font>}. <Font style="Help Notes">Nota:</Font> <Font italic="true">B</Font> e <Font italic="true">C</Font> <Font style="Help Bold" encoding="UTF-8">n\303\243o</Font><Font encoding="UTF-8"> est\303\243o na mesma componente: \303\251 poss\303\255vel atingir </Font><Font italic="true">C</Font> de <Font italic="true">B</Font><Font encoding="UTF-8">, mas o inverso n\303\243o \303\251 verdade.</Font></Text-field>
<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">Note tamb\303\251m que as componentes fortemente conectadas de um grafo s\303\243o invariantes pela transposi\303\247\303\243o do grafo.</Font></Text-field>
<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">Isto possui muitas aplica\303\247\303\265es, incluindo c\303\241lculo do determinante de uma matriz quadrada </Font><Font italic="true">A</Font><Font encoding="UTF-8"> contendo muitas entradas nulas. Se um grafo \303\251 formado, com um v\303\251rtice para cada linha/coluna da matriz, de tal forma que uma aresta existe para (</Font><Font italic="true">i</Font>,<Font italic="true">j</Font>) se <Font italic="true">A</Font>[<Font italic="true">i</Font>,<Font italic="true">j</Font><Font encoding="UTF-8">]\342\211\2400, ent\303\243o as componentes fortemente conectadas deste grafo identificam sub-matrizes (os </Font><Font style="Help Emphasized">blocos fortemente conectados</Font><Font encoding="UTF-8">) da matriz original, de modo que o determinante da matriz original \303\251 igual ao produto dos determinantes das sub-matrizes. Veja tamb\303\251m </Font><Hyperlink linktarget="Help:LinearAlgebra[StronglyConnectedBlocks]" hyperlink="true"><Font style="Hyperlink">LinearAlgebra[StronglyConnectedBlocks]</Font></Hyperlink>.</Text-field>
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