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<Title>VertexListGraph</Title>
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<H2><A NAME="concept:VertexListGraph">
VertexListGraph
</H2>
The <I>VertexListGraph</I> concept refines the <a
href="./Graph.html">Graph</a> concept, and adds the requirement for
efficient traversal of all the vertices in the graph.
<H3>Refinement of</H3>
<a href="./Graph.html">Graph</a>
<H3>Associated Types</H3>
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<td><tt>boost::graph_traits<G>::traversal_category</tt><br><br>
This tag type must be convertible to <tt>vertex_list_graph_tag</tt>.
</td>
</tr>
<TR>
<TD><tt>boost::graph_traits<G>::vertex_iterator</tt><br><br>
A vertex iterator (obtained via <TT>vertices(g)</TT>) provides access
to all of the vertices in a graph. A vertex iterator type must meet
the requirements of <a
href="../../utility/MultiPassInputIterator.html">MultiPassInputIterator</a>. The
value type of the vertex iterator must be the vertex descriptor of the
graph.
</TD>
</TR>
<tr>
<td><tt>boost::graph_traits<G>::vertices_size_type</tt><br><br>
The unsigned integer type used to represent the number of vertices
in the graph.
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<h3>Valid Expressions</h3>
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<th>Name</th><th>Expression</th><th>Return Type</th><th>Description</th>
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<td>Vertex Set of the Graph</td>
<td><a name="sec:vertices"><TT>vertices(g)</TT></a></TD>
<TD><TT>std::pair<vertex_iterator, vertex_iterator></TT></TD>
<TD>
Returns an iterator-range providing access to all the vertices in the
graph<TT>g</TT>.
</TD>
</TR>
<tr>
<td>Number of Vertices in the Graph </td>
<td><TT>num_vertices(g)</TT></TD>
<TD><TT>vertices_size_type</TT></TD>
<TD>Returns the number of vertices in the graph <TT>g</TT>.</TD>
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<H3>Complexity guarantees</H3>
<P>
The <TT>vertices()</TT> function must return in constant time.
<H3>See Also</H3>
<a href="./graph_concepts.html">Graph concepts</a>
<H3>Design Rationale</H3>
One issue in the design of this concept is whether to include the
refinement from the <a href="./IncidenceGraph.html">IncidenceGraph</a>
and <a href="./AdjacencyGraph.html">AdjacencyGraph</a> concepts. The
ability to traverse the vertices of a graph is orthogonal to
traversing out-edges, so it would make sense to have a VertexListGraph
concept that only includes vertex traversal. However, such a concept
would no longer really be a graph, but would just be a set, and the
STL already has concepts for dealing with such things. However, there
are many BGL algorithms that need to traverse the vertices and
out-edges of a graph, so for convenience a concept is needed that
groups these requirements together, hence the VertexListGraph concept.
<H3>Concept Checking Class</H3>
<P>
<PRE>
template <class G>
struct VertexListGraphConcept
{
typedef typename boost::graph_traits<G>::vertex_iterator
vertex_iterator;
void constraints() {
function_requires< IncidenceGraphConcept<G> >();
function_requires< AdjacencyGraphConcept<G> >();
function_requires< MultiPassInputIteratorConcept<vertex_iterator> >();
p = vertices(g);
V = num_vertices(g);
v = *p.first;
const_constraints(g);
}
void const_constraints(const G& g) {
p = vertices(g);
V = num_vertices(g);
v = *p.first;
}
std::pair<vertex_iterator, vertex_iterator> p;
typename boost::graph_traits<G>::vertex_descriptor v;
typename boost::graph_traits<G>::vertices_size_type V;
G g;
};
</PRE>
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<TD nowrap>Copyright © 2000-2001</TD><TD>
<A HREF="http://www.boost.org/people/jeremy_siek.htm">Jeremy Siek</A>, Indiana University (<A HREF="mailto:jsiek@osl.iu.edu">jsiek@osl.iu.edu</A>)
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