I/O-Efficient Undirected Shortest Paths with Unbounded Edge Lengths

  title={I/O-Efficient Undirected Shortest Paths with Unbounded Edge Lengths},
  author={Ulrich Meyer and Norbert Zeh},
We show how to compute single-source shortest paths in undirected graphs with non-negative edge lengths in O( p nm/B log n + MST (n, m)) I/Os, where n is the number of vertices, m is the number of edges, B is the disk block size, and MST (n, m) is the I/O-cost of computing a minimum spanning tree. For sparse graphs, the new algorithm performs O((n/ √ B) log n) I/Os. This result removes our previous algorithm’s dependence on the edge lengths in the graph. 
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