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<b>Data Structures and Algorithms
with Object-Oriented Design Patterns in C++</b><br>
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<H3><A NAME="SECTION0017233000000000000000">Graph Traversals</A></H3>
<P>
These graph traversal functions are analogous to the <tt>Accept</tt>
member function of the container class (see Section <A HREF="page117.html#secadtscontainers" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page117.html#secadtscontainers"><IMG ALIGN=BOTTOM ALT="gif" SRC="cross_ref_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/cross_ref_motif.gif"></A>).
Each of these functions takes a reference to a <tt>Visitor</tt>
and performs a traversal.
I.e., all the <em>vertices</em> of the graph are visited systematically.
When a vertex is visited, the <tt>Visit</tt> function of the visitor
is applied to that vertex.
<P>
<DL ><DT><STRONG><tt>DepthFirstTraversal</tt> and <tt>BreadthFirstTraversal</tt></STRONG>
<DD>
Both of these functions accept two arguments--a reference to a <tt>Visitor</tt> and a reference to a vertex.
The vertex specifies the starting node for
either a depth-first traversal or
a breadth-first traversal of the graph.
<DT><STRONG><tt>TopologicalOrderTraversal</tt></STRONG>
<DD>
A topological sort is an ordering of the nodes of a directed graph.
This traversal visits the nodes of a directed graph in the order
specified by a topological sort.
Therefore, it is a member function of the <tt>Digraph</tt> class.
<P>
</DL>
The graph traversal algorithms are discussed in Section <A HREF="page550.html#secgraphtraversals" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page550.html#secgraphtraversals"><IMG ALIGN=BOTTOM ALT="gif" SRC="cross_ref_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/cross_ref_motif.gif"></A>.
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