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<a accesskey="3" href="page.php?w=shortest_path_problem&amp;p=2">3.Next</a>
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<p>In <a href="page.php?w=graph_theory">graph theory</a>, the <b>shortest path problem</b> is the problem of finding a <a href="page.php?w=path_%28graph_theory%29">path</a> between two <a href="page.php?w=vertex_%28graph_theory%29">vertices</a> (or nodes) in a <a href="page.php?w=Graph_%28discrete_mathematics%29">graph</a> such that the sum of the <a href="page.php?w=Glossary_of_graph_theory_terms">weights</a> of its constituent edges is minimized.</p>

<p>The problem of finding the shortest path between two intersections on a road map may be modeled</p><p>
<a accesskey="3" href="page.php?w=shortest_path_problem&amp;p=2">3.Next</a>
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