ith-path-halving" id=
  "sec:representative-with-path-halving"></a></h2>
  <pre>
representative_with_path_halving&lt;Parent&gt;
</pre>

  <p>This is a functor which finds the representative vertex for the same
  component as the element <tt>x</tt>. While traversing up the representative
  tree, the functor also applies the path halving technique to shorten the
  height of the tree.</p>
  <pre>
Element operator()(Parent p, Element x)
</pre>
  <hr>

  <h2><a name="sec:representative-with-full-path-compression