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<p>between two vertices is measured by the length of the shortest <a href="page.php?w=path_%28graph_theory%29">edge path</a> between them.  For example, if the graph represents a <a href="page.php?w=social_network">social network</a>, then the idea of <a href="page.php?w=six_degrees_of_separation">six degrees of separation</a> can be interpreted mathematically as saying that the distance between any two vertices is at most six.  Similarly, the <a href="page.php?w=Erdos_number">Erdos number</a> and the <a href="page.php?w=Bacon_number">Bacon number</a>--the</p><p>
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