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<HTML><HEAD><TITLE>Breadth-First 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="tex2html4217" HREF="page263.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html4215" HREF="page258.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html4211" HREF="page261.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html4219" HREF="page611.html"><IMG WIDTH=43 HEIGHT=24 ALIGN=BOTTOM ALT="index" SRC="../icons/index_motif.gif"></A> <BR><HR><H3><A NAME="SECTION009404000000000000000">Breadth-First Traversal</A></H3><P>Whereas the depth-first traversals are defined recursively,<em>breadth-first traversal</em><A NAME=15272>&#160;</A><A NAME=15273>&#160;</A>is best understood as a non-recursive traversal.The breadth-first traversal of a tree visits the nodesin the order of their depth in the tree.Breadth-first traversal first visits all the nodes at depth zero(i.e., the root),then all the nodes at depth one, and so on.At each depth the nodes are visited from left to right.<P>A breadth-first 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="displaymath63215" SRC="img1100.gif"  ><P><HR><A NAME="tex2html4217" HREF="page263.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html4215" HREF="page258.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html4211" HREF="page261.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html4219" 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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