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<a accesskey="1" href="page.php?w=Cayley_graph&amp;p=1">1.Previous</a><br />
<a accesskey="3" href="page.php?w=Cayley_graph&amp;p=3">3.Next</a>
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<p>and uses a specified <a href="page.php?w=generating_set_of_a_group">set of generators</a> for the group. It is a central tool in <a href="page.php?w=combinatorial_group_theory">combinatorial</a> and <a href="page.php?w=geometric_group_theory">geometric group theory</a>. The structure and symmetry of Cayley graphs make them particularly good candidates for constructing <a href="page.php?w=expander_graphs">expander graphs</a>.</p>

<p><big> Definition </big></p>
<p>Let  be a <a href="page.php?w=group_%28mathematics%29">group</a> and  be a <a href="page.php?w=generating_set_of_a_group">generating set</a></p><p>
<a accesskey="1" href="page.php?w=Cayley_graph&amp;p=1">1.Previous</a><br />
<a accesskey="3" href="page.php?w=Cayley_graph&amp;p=3">3.Next</a>
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