algorithm - Optimizing search of all the shortest paths in a Graph with N vertices and N edges -


i need find shortest paths between pairs in graph g. i'm using floyd–warshall algorithm compute solution.

i need know if there better option find shortest paths given these facts g:

  1. g undirected graph.
  2. the numbers of vertices , edges same.
  3. all edge weights positive.

is there better solution floyd–warshall given these facts?

there modification of dijkstra shortest path algorithm sparse graphs works fast , reveals log-linear (close linear) asymptotic behavior. need n searches n vertices gives o(n^2*logn) asymptotic time better o(n^3) floyd–warshall algorithm.

probably graph has special topology allows more efficient approaches...

c++ code russian description (may translated google chrome)

i have delphi implementation grid graph here.


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