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single_source_shortest_path_faster (494B)


      1 # Single source shortest path faster
      2 
      3 Solve [single_source_shortest_path] faster than [bellman_ford]
      4 
      5 - variant: "scaling-based algorithms": O(m sqrt(n) log W)
      6 - [bernstein2022negative] best paper: O(m log^8 n log W)
      7   - [bringmann2023negative] improved by [log_shaving]
      8 - open whether log W can be removed
      9 
     10 recent result [bernstein2023negative] improving [bellman_ford]
     11 vs [lower_bounds] on [circuit_classes] for this problem [jukna2016optimality]
     12 
     13 Up: [single_source_shortest_path_algorithm]