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    STUDIA INFORMATICA - Issue no. 2 / 2002  
         
  Article:   MINIMUM COST PATH IN A HUGE GRAPH.

Authors:  ION COZAC.
 
       
         
  Abstract:  Suppose we have a weighted graph G = (V;E; c); where V is the set of vertices, E is the set of arcs, and c : E ! R+ is the cost function. Determining a minimum cost path between two given nodes of this graph can take O(mlog n) time, where n = jV j and m = jEj: If this graph is huge, say n ~ 700000 and m ~ 2000000; determining a minimum cost path can be a serious time consuming task. So we must develop an algorithm that quickly determines a path having the cost near the optimum one.  
         
     
         
         
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