Determination of the Topology of a Directed Network

  • Authors:
  • Darin Goldstein

  • Affiliations:
  • -

  • Venue:
  • IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
  • Year:
  • 2002

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Abstract

We consider strongly-connected, directed networks of identical synchronous, finite-state processors with in-and out-degree uniformly bounded by a network constant. Via a straightforward extension of Ostrovsky and Wilkerson's Backwards Communication Algorithm[9], we exhibit a protocol which solves the Global Topology Determination Problem, the problem of having a root processor map the global topology of a network of unknown size and topology, with running time O(ND) where N represents the number of processors and D represents the diameter of the network. A simple counting argument succes to show that the Global Topology Determination Problem has time-complexity驴(N, logN) which makes the protocol presented asymptotically time-optimal for many large networks.