I/O-efficient topological sorting of planar DAGs

  • Authors:
  • Lars Arge;Laura Toma;Norbert Zeh

  • Affiliations:
  • Duke University, Durham, NC;Duke University, Durham, NC;Dalhousie University, Halifax, NS

  • Venue:
  • Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures
  • Year:
  • 2003

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Abstract

We present algorithms that solve a number of fundamental problems on planar directed graphs (planar digraphs) in O((N)) I/Os, where (N) is the number of I/Os needed to sort N elements. The problems we consider are breadth-first search, the single-source shortest path problem, computing a directed ear decomposition of a strongly connected planar digraph, computing an open directed ear decomposition of a strongly connected biconnected planar digraph, and topologically sorting a planar directed acyclic graph.