thirdparty/python-graph/docs/graph.minmax-module.html
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    45         <a href="graph-module.html">Package&nbsp;graph</a> ::
       
    46         Module&nbsp;minmax
       
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    56 <!-- ==================== MODULE DESCRIPTION ==================== -->
       
    57 <h1 class="epydoc">Module minmax</h1><p class="nomargin-top"></p>
       
    58 <p>Minimization and maximization algorithms for python-graph.</p>
       
    59 
       
    60 <!-- ==================== FUNCTIONS ==================== -->
       
    61 <a name="section-Functions"></a>
       
    62 <table class="summary" border="1" cellpadding="3"
       
    63        cellspacing="0" width="100%" bgcolor="white">
       
    64 <tr bgcolor="#70b0f0" class="table-header">
       
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    66     <span class="table-header">Functions</span></td>
       
    67 </tr>
       
    68 <tr>
       
    69     <td width="15%" align="right" valign="top" class="summary">
       
    70       <span class="summary-type">dictionary</span>
       
    71     </td><td class="summary">
       
    72       <table width="100%" cellpadding="0" cellspacing="0" border="0">
       
    73         <tr>
       
    74           <td><span class="summary-sig"><a href="graph.minmax-module.html#minimal_spanning_tree" class="summary-sig-name">minimal_spanning_tree</a>(<span class="summary-sig-arg">graph</span>,
       
    75         <span class="summary-sig-arg">root</span>=<span class="summary-sig-default">None</span>)</span><br />
       
    76       Minimal spanning tree.</td>
       
    77           <td align="right" valign="top">
       
    78             
       
    79             
       
    80           </td>
       
    81         </tr>
       
    82       </table>
       
    83       
       
    84     </td>
       
    85   </tr>
       
    86 <tr>
       
    87     <td width="15%" align="right" valign="top" class="summary">
       
    88       <span class="summary-type">tuple</span>
       
    89     </td><td class="summary">
       
    90       <table width="100%" cellpadding="0" cellspacing="0" border="0">
       
    91         <tr>
       
    92           <td><span class="summary-sig"><a href="graph.minmax-module.html#shortest_path" class="summary-sig-name">shortest_path</a>(<span class="summary-sig-arg">graph</span>,
       
    93         <span class="summary-sig-arg">source</span>)</span><br />
       
    94       Return the shortest path distance between source and all other nodes 
       
    95       using Dijkstra's algorithm.</td>
       
    96           <td align="right" valign="top">
       
    97             
       
    98             
       
    99           </td>
       
   100         </tr>
       
   101       </table>
       
   102       
       
   103     </td>
       
   104   </tr>
       
   105 </table>
       
   106 <!-- ==================== FUNCTION DETAILS ==================== -->
       
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   111   <td align="left" colspan="2" class="table-header">
       
   112     <span class="table-header">Function Details</span></td>
       
   113 </tr>
       
   114 </table>
       
   115 <a name="minimal_spanning_tree"></a>
       
   116 <div>
       
   117 <table class="details" border="1" cellpadding="3"
       
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   119 <tr><td>
       
   120   <table width="100%" cellpadding="0" cellspacing="0" border="0">
       
   121   <tr valign="top"><td>
       
   122   <h3 class="epydoc"><span class="sig"><span class="sig-name">minimal_spanning_tree</span>(<span class="sig-arg">graph</span>,
       
   123         <span class="sig-arg">root</span>=<span class="sig-default">None</span>)</span>
       
   124   </h3>
       
   125   </td><td align="right" valign="top"
       
   126     >&nbsp;
       
   127     </td>
       
   128   </tr></table>
       
   129   
       
   130   <p>Minimal spanning tree.</p>
       
   131   <dl class="fields">
       
   132     <dt>Parameters:</dt>
       
   133     <dd><ul class="nomargin-top">
       
   134         <li><strong class="pname"><code>graph</code></strong> (graph) - Graph.</li>
       
   135         <li><strong class="pname"><code>root</code></strong> (node) - Optional root node (will explore only root's connected component)</li>
       
   136     </ul></dd>
       
   137     <dt>Returns: dictionary</dt>
       
   138         <dd>Generated spanning tree.</dd>
       
   139   </dl>
       
   140 <div class="fields">      <p><strong>Attention:</strong>
       
   141         Minimal spanning tree meaningful only for weighted graphs.
       
   142       </p>
       
   143 </div></td></tr></table>
       
   144 </div>
       
   145 <a name="shortest_path"></a>
       
   146 <div>
       
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   149 <tr><td>
       
   150   <table width="100%" cellpadding="0" cellspacing="0" border="0">
       
   151   <tr valign="top"><td>
       
   152   <h3 class="epydoc"><span class="sig"><span class="sig-name">shortest_path</span>(<span class="sig-arg">graph</span>,
       
   153         <span class="sig-arg">source</span>)</span>
       
   154   </h3>
       
   155   </td><td align="right" valign="top"
       
   156     >&nbsp;
       
   157     </td>
       
   158   </tr></table>
       
   159   
       
   160   <p>Return the shortest path distance between source and all other nodes 
       
   161   using Dijkstra's algorithm.</p>
       
   162   <dl class="fields">
       
   163     <dt>Parameters:</dt>
       
   164     <dd><ul class="nomargin-top">
       
   165         <li><strong class="pname"><code>graph</code></strong> (graph) - Graph.</li>
       
   166         <li><strong class="pname"><code>source</code></strong> (node) - Node from which to start the search.</li>
       
   167     </ul></dd>
       
   168     <dt>Returns: tuple</dt>
       
   169         <dd>A tuple containing two dictionaries, each keyed by target nodes.
       
   170           <ol start="1">
       
   171             <li>
       
   172               Shortest path spanning tree
       
   173             </li>
       
   174             <li>
       
   175               Shortest distance from given source to each target node
       
   176             </li>
       
   177           </ol>
       
   178           <p>Inaccessible target nodes do not appear in either 
       
   179           dictionary.</p></dd>
       
   180   </dl>
       
   181 <div class="fields">      <p><strong>Attention:</strong>
       
   182         All weights must be nonnegative.
       
   183       </p>
       
   184 </div></td></tr></table>
       
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