I/O-optimal algorithms for planar graphs using separators

  title={I/O-optimal algorithms for planar graphs using separators},
  author={Anil Maheshwari and Norbert Zeh},
We present I/O-optimal algorithms for several fundamental problems on planar graphs. Our main contribution is an I/O-efficient algorithm for computing a small vertex separator of an unweighted planar graph. This algorithm is superior to all existing external memory algorithms for this problem, as it requires neither a breadth-first search tree nor an embedding of the graph as part of the input. In fact, we derive I/O-optimal algorithms for planar embedding, breadth-first search, depth-first… CONTINUE READING

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