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| 2 | <!-- |
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| 3 | -- Copyright (c) Jeremy Siek 2000 |
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| 4 | -- |
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| 5 | -- Permission to use, copy, modify, distribute and sell this software |
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| 6 | -- and its documentation for any purpose is hereby granted without fee, |
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| 8 | -- that both that copyright notice and this permission notice appear |
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| 9 | -- in supporting documentation. Silicon Graphics makes no |
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| 10 | -- representations about the suitability of this software for any |
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| 11 | -- purpose. It is provided "as is" without express or implied warranty. |
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| 12 | --> |
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| 13 | <Head> |
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| 14 | <Title>AdjacencyMatrix</Title> |
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| 15 | <BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b" |
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| 16 | ALINK="#ff0000"> |
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| 17 | <IMG SRC="../../../boost.png" |
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| 18 | ALT="C++ Boost" width="277" height="86"> |
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| 19 | |
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| 20 | <BR Clear> |
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| 21 | |
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| 22 | |
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| 23 | |
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| 24 | <H2><A NAME="concept:AdjacencyMatrix"></A> |
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| 25 | AdjacencyMatrix |
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| 26 | </H2> |
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| 27 | |
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| 28 | <P> |
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| 29 | The AdjacencyMatrix concept refines <a href="./Graph.html">Graph</a> |
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| 30 | concept and adds the requirement for efficient access to any edge in |
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| 31 | the graph given the source and target vertices. No Boost Graph Library |
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| 32 | algorithms currently use this concept. However there are algorithms |
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| 33 | not yet implemented such as Floyd-Warshall that would require this |
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| 34 | concept. |
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| 35 | |
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| 36 | <H3>Refinement of</H3> |
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| 37 | |
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| 38 | <a href="./Graph.html">Graph</a> |
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| 39 | |
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| 40 | <H3>Associated Types</H3> |
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| 41 | |
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| 42 | <Table border> |
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| 43 | |
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| 44 | <tr> |
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| 45 | <td><tt>boost::graph_traits<G>::traversal_category</tt><br><br> |
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| 46 | This tag type must be convertible to <tt>adjacency_matrix_tag</tt>. |
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| 47 | </td> |
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| 48 | </tr> |
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| 49 | |
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| 50 | </table> |
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| 51 | |
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| 52 | <H3>Valid Expressions</H3> |
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| 53 | |
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| 54 | <table border> |
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| 55 | |
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| 56 | <tr> |
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| 57 | <th>Name</th><th>Expression</th><th>Return Type</th><th>Description</th> |
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| 58 | </tr> |
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| 59 | |
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| 60 | <tr> |
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| 61 | <td>Direct Edge Access</td> |
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| 62 | <TD><TT>edge(u,v,g)</TT></TD> |
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| 63 | <TD><TT>std::pair<edge_descriptor, bool></TT></TD> |
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| 64 | <TD> |
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| 65 | Returns a pair consisting of a flag saying whether there exists an |
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| 66 | edge between <TT>u</TT> and <TT>v</TT> in graph <TT>g</TT>, and |
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| 67 | consisting of the edge descriptor if the edge was found. |
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| 68 | </TD> |
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| 69 | </TR> |
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| 70 | </TABLE> |
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| 71 | |
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| 72 | <H3>Complexity guarantees</H3> |
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| 73 | |
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| 74 | The <TT>edge()</TT> function must return in constant time. |
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| 75 | |
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| 76 | |
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| 77 | <H3>Models</H3> |
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| 78 | |
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| 79 | <a href="./adjacency_matrix.html"><tt>adjacency_matrix</tt></a> |
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| 80 | |
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| 81 | <H3>Concept Checking Class</H3> |
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| 82 | |
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| 83 | <PRE> |
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| 84 | template <class G> |
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| 85 | struct AdjacencyMatrix |
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| 86 | { |
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| 87 | typedef typename boost::graph_traits<G>::edge_descriptor edge_descriptor; |
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| 88 | void constraints() { |
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| 89 | p = edge(u, v, g); |
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| 90 | } |
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| 91 | typename boost::graph_traits<G>::vertex_descriptor u, v; |
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| 92 | std::pair<bool, edge_descriptor> p; |
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| 93 | G g; |
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| 94 | }; |
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| 95 | </PRE> |
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| 96 | |
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| 97 | |
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| 98 | <br> |
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| 99 | <HR> |
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| 100 | <TABLE> |
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| 101 | <TR valign=top> |
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| 102 | <TD nowrap>Copyright © 2000-2001</TD><TD> |
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| 103 | <A HREF="../../../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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| 104 | </TD></TR></TABLE> |
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| 105 | |
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| 106 | </BODY> |
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| 107 | </HTML> |
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