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<b><font face="Arial, Helvetica, sans-serif" size="5" color="#FF0000">6.1 The graph abstract data type</font><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">

1. <font color="#FF0000">introduction</font>

<i><font color="#FF0000">Koenigsberg bridge problem</font></i>
starting at some land area, is it possible to return to our staring 
location after walking across each of the bridge exactly once ?
                           
                                      <img src="image/text6-a.gif" width="353" height="155">           
       
                <font color="#0033CC" size="3"><i>start B ----> (a)---> A  ---> (e )---> D ---> (g) ---> 
                        C ---> (d) ---> A ---> (b) ---> B --->  (f ) ---> D</i></font>  <i><font color="#FF0000" size="3">[no solution]</font></i>

<i><font color="#FF0000">Eulerian walk</font></i>
        <i> There is a walk  starting at any vertex, going through each
         edge exactly once, and terminating at the starting vertex
         iff the degree of each vertex is even.</i>
 
<font color="#FF0000">graph applications:</font>
     <font color="#0033CC"> analysis of electrical circuits,
      finding shortest routes,  
      project planning,  
      identification of chemical compounds.

</font></font></b></pre>
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