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📁 浙江大学计算机学院数据结构课程的教学课件
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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">(5) <font color="#FF0000">Application of F-heaps</font>

*	<i><font color="#0033CC">the single source all destinations algorithm</font></i>
    S -- the set of vertices to which a shortest path has been found
     dostance(i) --  the length of a shortest  from the source vertex i, i                                   
    
                            <img src="image/-s.gif" width="17" height="23" align="middle">   ~  F-hearp
1) determine  i  is min distance and add i to S    
      ~~   a delete min operation on <img src="image/-s.gif" width="17" height="23" align="middle"> 
2) distance value of the remaining vertices in  <img src="image/-s.gif" width="17" height="23" align="middle">
      ~~   a decrease key operation on each of the affected 
             verties
total time (graph )   --  <img src="image/wB.gif" width="17" height="17"> (<img src="image/n2.gif" width="21" height="20" align="middle">   )
total time (heap )     --  O (nlog n + e )   

*	find a shortest path between every pair of vertices 
      
           total time (graph )   --  <img src="image/wB.gif" width="17" height="17"> ( <img src="image/n3.gif" width="19" height="20" align="middle">  )
           total time (heap )     --  O (<img src="image/n2.gif" width="21" height="20" align="middle"> log n + ne )   </font></b></pre>
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