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<HTML><HEAD><TITLE>Postorder Traversal</TITLE></HEAD><BODY bgcolor="#FFFFFF"> <a href="../index.html" target="_top"><img src="../icons/usins.gif" alt="Logo" align=right></a><b>Data Structures and Algorithms with Object-Oriented Design Patterns in Python</b><br><A NAME="tex2html4197" HREF="page261.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html4195" HREF="page258.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html4189" HREF="page259.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html4199" HREF="page611.html"><IMG WIDTH=43 HEIGHT=24 ALIGN=BOTTOM ALT="index" SRC="../icons/index_motif.gif"></A> <BR><HR><H3><A NAME="SECTION009402000000000000000">Postorder Traversal</A></H3><P>The second depth-first traversal method we consider is<em>postorder traversal</em><A NAME=15255>&#160;</A><A NAME=15256>&#160;</A>.In contrast with preorder traversal,which visits the root first,postorder traversal visits the root last.To do a postorder traversal of a general tree:<OL><LI> Do a postorder traversal each of the subtrees of the root	one-by-one in the order given; and then<LI> visit the root.</OL>To do a postorder traversal of a binary tree<OL><LI> Traverse the left subtree; and then<LI> traverse the right subtree; and then<LI> visit the root.</OL>A postorder traversal of the tree shown in Figure&nbsp;<A HREF="page258.html#figtree5"><IMG  ALIGN=BOTTOM ALT="gif" SRC="../icons/cross_ref_motif.gif"></A>visits the nodes in the following order:<P> <IMG WIDTH=333 HEIGHT=15 ALIGN=BOTTOM ALT="displaymath63211" SRC="img1098.gif"  ><P><HR><A NAME="tex2html4197" HREF="page261.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html4195" HREF="page258.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html4189" HREF="page259.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html4199" HREF="page611.html"><IMG WIDTH=43 HEIGHT=24 ALIGN=BOTTOM ALT="index" SRC="../icons/index_motif.gif"></A> <P><ADDRESS><img src="../icons/bruno.gif" alt="Bruno" align=right><a href="../copyright.html">Copyright &#169; 2003</a> by <a href="../signature.html">Bruno R. Preiss, P.Eng.</a>  All rights reserved.</ADDRESS></BODY></HTML>

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