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Is bellman ford a dynamic programming approach? If yes, what is the reason behind it? How do we find an optimal substructure and overlapping sub problems in this ?
asked in Algorithms by (137 points) | 853 views

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Yes. It works in dynamic programming approach.

  • It calculates shortest paths in bottom-up manner.
  • Intermediate values are stored and used for next level values.
  • It first calculates the shortest distances for the shortest paths which have at-most one edge in the path. Stores it. 
  • Then, it calculates shortest paths with at-most 2 edges, and so on.
  • After the ith iteration of outer loop, the shortest paths with at most i edges are calculated.

Hence it follows Dynamic programming approach

For more details , please refer : http://www.geeksforgeeks.org/dynamic-programming-set-23-bellman-ford-algorithm/

 

answered by Veteran (31.7k points)


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