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3     Copyright (c) Jeremy Siek 2000, 2001
4
5     Distributed under the Boost Software License, Version 1.0.
6     (See accompanying file LICENSE_1_0.txt or copy at
7     http://www.boost.org/LICENSE_1_0.txt)
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9<Head>
10<Title>Boost Graph Library: Breadth-First Visit</Title>
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15
16<BR Clear>
17
18<H1><A NAME="sec:bfv"><img src="figs/python.gif" alt="(Python)"/>
19<TT>breadth_first_visit</TT>
20</H1>
21
22<P>
23<PRE>
24  template &lt;class <a href="./IncidenceGraph.html">IncidenceGraph</a>, class P, class T, class R&gt;
25  void breadth_first_visit(IncidenceGraph& G,
26    typename graph_traits&lt;IncidenceGraph&gt;::vertex_descriptor s,
27    const bgl_named_params&lt;P, T, R&gt;&amp; params);
28
29  template &lt;class <a href="./IncidenceGraph.html">IncidenceGraph</a>, class <a href="./Buffer.html">Buffer</a>, class <a href="./BFSVisitor.html">BFSVisitor</a>, class ColorMap&gt;
30  void breadth_first_visit
31    (const IncidenceGraph&amp; g,
32     typename graph_traits&lt;IncidenceGraph&gt;::vertex_descriptor s,
33     Buffer&amp; Q, BFSVisitor vis, ColorMap color)
34</PRE>
35
36This function is basically the same as <tt>breadth_first_search()</tt>
37except that the color markers are not initialized in the
38algorithm. The user is responsible for making sure the color for every
39vertex is white before calling the algorithm.  With this difference,
40the graph type is only required to be an <a
41href="./IncidenceGraph.html">Incidence Graph</a> instead of a <a
42href="./VertexListGraph.html">Vertex List Graph</a>.  Also, this
43difference allows for more flexibility in the color property map. For
44example, one could use a map that only implements a partial function
45on the vertices, which could be more space efficient when the search
46only reaches a small portion of the graph.
47
48<H3>Where Defined</H3>
49
50<P>
51<a href="../../../boost/graph/breadth_first_search.hpp"><TT>boost/graph/breadth_first_search.hpp</TT></a>
52
53
54<h3>Parameters</h3>
55
56IN: <tt>IncidenceGraph&amp; g</tt>
57<blockquote>
58  A directed or undirected graph. The graph type must
59  be a model of <a href="./IncidenceGraph.html">Incidence Graph</a>.<br>
60
61  <b>Python</b>: The parameter is named <tt>graph</tt>.
62</blockquote>
63
64IN: <tt>vertex_descriptor s</tt>
65<blockquote>
66  The source vertex where the search is started.<br>
67
68  <b>Python</b>: The parameter is named <tt>root_vertex</tt>.
69</blockquote>
70
71
72<h3>Named Parameters</h3>
73
74IN: <tt>visitor(BFSVisitor vis)</tt>
75<blockquote>
76  A visitor object that is invoked inside the algorithm at the
77  event-points specified by the <a href="BFSVisitor.html">BFS
78  Visitor</a> concept. The visitor object is passed by value <a
79  href="#1">[1]</a>.<br> <b>Default:</b>
80  <tt>bfs_visitor&lt;null_visitor&gt;</tt><br>
81
82  <b>Python</b>: The parameter should be an object that derives from
83  the <a href="BFSVisitor.html#python"><tt>BFSVisitor</tt></a> type of the graph.
84</blockquote>
85
86UTIL/OUT: <tt>color_map(ColorMap color)</tt>
87<blockquote>
88  This is used by the algorithm to keep track of its progress through
89  the graph. The type <tt>ColorMap</tt> must be a model of <a
90  href="../../property_map/doc/ReadWritePropertyMap.html">Read/Write
91  Property Map</a> and its key type must be the graph's vertex
92  descriptor type and the value type of the color map must model
93  <a href="./ColorValue.html">ColorValue</a>.<br>
94  <b>Default:</b> <tt>get(vertex_color, g)</tt><br>
95
96  <b>Python</b>: The color map must be a <tt>vertex_color_map</tt> for
97  the graph.
98</blockquote>
99
100UTIL: <tt>buffer(Buffer&amp; Q)</tt>
101<blockquote>
102  The queue used to determine the order in which vertices will be
103  discovered.  If a FIFO queue is used, then the traversal will
104  be according to the usual BFS ordering. Other types of queues
105  can be used, but the traversal order will be different.
106  For example Dijkstra's algorithm can be implemented
107  using a priority queue. The type <tt>Buffer</tt> must be a model of
108  <a href="./Buffer.html">Buffer</a>.<br>
109  <b>Default:</b> <tt>boost::queue</tt><br>
110
111  <b>Python</b>: The buffer must derive from the <a
112  href="./Buffer.html">Buffer</a> type for the graph.
113</blockquote>
114
115
116<H3><A NAME="SECTION001330300000000000000">
117Complexity</A>
118</H3>
119
120<P>
121The time complexity is <i>O(E)</i>.
122
123<P>
124
125<h3>Visitor Event Points</h3>
126
127<ul>
128<li><b><tt>vis.examine_vertex(u, g)</tt></b>r is invoked in each
129  vertex as it is removed from the queue.
130
131<li><b><tt>vis.examine_edge(e, g)</tt></b> is invoked on every out-edge
132  of each vertex immediately after the vertex is removed from the queue.
133
134<li><b><tt>vis.tree_edge(e, g)</tt></b> is invoked (in addition to
135  <tt>examine_edge()</tt>) if the edge is a tree edge. The
136  target vertex of edge <tt>e</tt> is discovered at this time.
137
138<li><b><tt>vis.discover_vertex(u, g)</tt></b> is invoked the first time the
139  algorithm encounters vertex <i>u</i>. All vertices closer to the
140  source vertex have been discovered, and vertices further from the
141  source have not yet been discovered.
142
143<li><b><tt>vis.non_tree_edge(e, g)</tt></b> is invoked (in addition to
144  <tt>examine_edge()</tt>) if the edge is not a tree edge.
145
146<li><b><tt>vis.gray_target(e, g)</tt></b> is invoked (in addition to
147  <tt>non_tree_edge()</tt>) if the target vertex is colored gray at the
148  time of examination. The color gray indicates that
149  the vertex is currently in the queue.
150
151<li><b><tt>vis.black_target(e, g)</tt></b> is invoked (in addition to
152  <tt>non_tree_edge()</tt>) if the target vertex is colored black at the
153  time of examination. The color black indicates that the
154  vertex is no longer in the queue.
155
156<li><b><tt>vis.finish_vertex(u, g)</tt></b> is invoked after all of the out
157  edges of <i>u</i> have been examined and all of the adjacent vertices
158  have been discovered.
159
160</ul>
161
162<h3>See Also</h3>
163
164<a href="./breadth_first_search.html"><tt>breadth_first_search()</tt></a>,
165<a href="./bfs_visitor.html"><tt>bfs_visitor</tt></a>, and
166<a href="./depth_first_search.html"><tt>depth_first_search()</tt></a>
167
168<h3>Notes</h3>
169
170<p><a name="1">[1]</a>
171  Since the visitor parameter is passed by value, if your visitor
172  contains state then any changes to the state during the algorithm
173  will be made to a copy of the visitor object, not the visitor object
174  passed in. Therefore you may want the visitor to hold this state by
175  pointer or reference.
176
177<br>
178<HR>
179<TABLE>
180<TR valign=top>
181<TD nowrap>Copyright &copy; 2000-2001</TD><TD>
182<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>)
183</TD></TR></TABLE>
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