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7 <title>Parallel BGL Sorted unique R-MAT generator</title>
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12 <h1 class="title"><a class="reference external" href="http://www.osl.iu.edu/research/pbgl"><img align="middle" alt="Parallel BGL" class="align-middle" src="pbgl-logo.png" /></a> Sorted unique R-MAT generator</h1>
13
14 <!-- Copyright (C) 2004-2009 The Trustees of Indiana University.
15 Use, modification and distribution is subject to the Boost Software
16 License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
17 http://www.boost.org/LICENSE_1_0.txt) -->
18 <pre class="literal-block">
19 template&lt;typename RandomGenerator, typename Graph,
20 typename EdgePredicate = keep_all_edges&gt;
21 class sorted_unique_rmat_iterator
22 {
23 public:
24 typedef std::input_iterator_tag iterator_category;
25 typedef std::pair&lt;vertices_size_type, vertices_size_type&gt; value_type;
26 typedef const value_type&amp; reference;
27 typedef const value_type* pointer;
28 typedef void difference_type;
29
30 sorted_unique_rmat_iterator();
31 sorted_unique_rmat_iterator(RandomGenerator&amp; gen, vertices_size_type n,
32 edges_size_type m, double a, double b, double c,
33 double d, bool bidirectional = true,
34 bool permute_vertices = true,
35 EdgePredicate ep = keep_all_edges());
36 // Iterator operations
37 reference operator*() const;
38 pointer operator-&gt;() const;
39 sorted_unique_rmat_iterator&amp; operator++();
40 sorted_unique_rmat_iterator operator++(int);
41 bool operator==(const sorted_unique_rmat_iterator&amp; other) const;
42 bool operator!=(const sorted_unique_rmat_iterator&amp; other) const;
43 };
44 </pre>
45 <p>This class template implements a generator for R-MAT graphs <a class="citation-reference" href="#czf04" id="id1">[CZF04]</a>,
46 suitable for initializing an adjacency_list or other graph structure
47 with iterator-based initialization. An R-MAT graph has a scale-free
48 distribution w.r.t. vertex degree and is implemented using
49 Recursive-MATrix partitioning. The output of this generator is sorted
50 for use with a <a class="reference external" href="http://www.boost.org/libs/graph/doc/compressed_sparse_row.html">compressed sparse row graph</a>. The edge list produced by
51 this iterator is guaranteed not to contain parallel edges.</p>
52 <div class="section" id="where-defined">
53 <h1>Where Defined</h1>
54 <p>&lt;<tt class="docutils literal"><span class="pre">boost/graph/rmat_graph_generator.hpp</span></tt>&gt;</p>
55 </div>
56 <div class="section" id="constructors">
57 <h1>Constructors</h1>
58 <pre class="literal-block">
59 sorted_unique_rmat_iterator();
60 </pre>
61 <p>Constructs a past-the-end iterator.</p>
62 <pre class="literal-block">
63 sorted_unique_rmat_iterator(RandomGenerator&amp; gen, vertices_size_type n,
64 edges_size_type m, double a, double b, double c,
65 double d, bool bidirectional = false,
66 bool permute_vertices = true,
67 EdgePredicate ep = keep_all_edges());
68 </pre>
69 <p>Constructs an R-MAT generator iterator that creates a graph with <tt class="docutils literal"><span class="pre">n</span></tt>
70 vertices and <tt class="docutils literal"><span class="pre">m</span></tt> edges. <tt class="docutils literal"><span class="pre">a</span></tt>, <tt class="docutils literal"><span class="pre">b</span></tt>, <tt class="docutils literal"><span class="pre">c</span></tt>, and <tt class="docutils literal"><span class="pre">d</span></tt> represent
71 the probability that a generated edge is placed of each of the 4
72 quadrants of the partitioned adjacency matrix. Probabilities are
73 drawn from the random number generator <tt class="docutils literal"><span class="pre">gen</span></tt>. Vertex indices are
74 permuted to eliminate locality when <tt class="docutils literal"><span class="pre">permute_vertices</span></tt> is true.
75 When <tt class="docutils literal"><span class="pre">bidirectional</span></tt> is <tt class="docutils literal"><span class="pre">true</span></tt> for every edge s-t, the
76 corresponding anti-edge t-s is added as well, these anti-edges are not
77 counted towards <tt class="docutils literal"><span class="pre">m</span></tt>. <tt class="docutils literal"><span class="pre">ep</span></tt> allows the user to specify which edges
78 are retained, this is useful in the case where the user wishes to
79 refrain from storing remote edges locally during generation to reduce
80 memory consumption.</p>
81 </div>
82 <div class="section" id="example">
83 <h1>Example</h1>
84 <pre class="literal-block">
85 #include &lt;boost/graph/distributed/mpi_process_group.hpp&gt;
86 #include &lt;boost/graph/compressed_sparse_row_graph.hpp&gt;
87 #include &lt;boost/graph/rmat_graph_generator.hpp&gt;
88 #include &lt;boost/random/linear_congruential.hpp&gt;
89
90 using boost::graph::distributed::mpi_process_group;
91
92 typedef compressed_sparse_row_graph&lt;directedS, no_property, no_property, no_property,
93 distributedS&lt;mpi_process_group&gt; &gt; Graph;
94 typedef keep_local_edges&lt;boost::parallel::variant_distribution&lt;mpi_process_group&gt;,
95 mpi_process_group::process_id_type&gt; EdgeFilter;
96 typedef boost::sorted_unique_rmat_iterator&lt;boost::minstd_rand, Graph&gt; RMATGen;
97
98 int main()
99 {
100 boost::minstd_rand gen;
101 mpi_process_group pg;
102
103 int N = 100;
104
105 boost::parallel::variant_distribution&lt;ProcessGroup&gt; distrib
106 = boost::parallel::block(pg, N);
107
108 mpi_process_group::process_id_type id = process_id(pg);
109
110 // Create graph with 100 nodes and 400 edges
111 Graph g(RMATGen(gen, N, 400, 0.57, 0.19, 0.19, 0.05, true,
112 true, EdgeFilter(distrib, id)),
113 RMATGen(), N, pg, distrib);
114 return 0;
115 }
116 </pre>
117 </div>
118 <div class="section" id="bibliography">
119 <h1>Bibliography</h1>
120 <table class="docutils citation" frame="void" id="czf04" rules="none">
121 <colgroup><col class="label" /><col /></colgroup>
122 <tbody valign="top">
123 <tr><td class="label"><a class="fn-backref" href="#id1">[CZF04]</a></td><td>D Chakrabarti, Y Zhan, and C Faloutsos. R-MAT: A Recursive
124 Model for Graph Mining. In Proceedings of 4th International Conference
125 on Data Mining, pages 442--446, 2004.</td></tr>
126 </tbody>
127 </table>
128 <hr class="docutils" />
129 <p>Copyright (C) 2009 The Trustees of Indiana University.</p>
130 <p>Authors: Nick Edmonds and Andrew Lumsdaine</p>
131 </div>
132 </div>
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