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<a accesskey="3" href="page.php?w=edge_contraction&amp;p=2">3.Next</a>
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<p><a href="page.php?w=Image%3AEdge_contraction_with_multiple_edges.svg">280px</a>In <a href="page.php?w=graph_theory">graph theory</a>, an <b>edge contraction</b> is an <a href="page.php?w=Graph_operations">operation</a> that removes an edge from a <a href="page.php?w=Graph_%28discrete_mathematics%29">graph</a> while simultaneously merging the two <a href="page.php?w=Vertex_%28graph_theory%29">vertices</a> that it previously joined. Edge contraction is a fundamental operation in the theory of <a href="page.php?w=graph_minor">graph minor</a>s. <b>Vertex</b></p><p>
<a accesskey="3" href="page.php?w=edge_contraction&amp;p=2">3.Next</a>
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