Black Hole Search with Tokens in Interconnected Networks

  • Authors:
  • Wei Shi

  • Affiliations:
  • University of Ontario Institute of Technology, Canada

  • Venue:
  • SSS '09 Proceedings of the 11th International Symposium on Stabilization, Safety, and Security of Distributed Systems
  • Year:
  • 2009

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Abstract

We study the Black Hole search problem using mobile agents in three interconnected network topologies: hypercube, torus and complete network. We do so without relying on local storage. Instead we use a less-demanding and less-expensive token mechanism. We demonstrate that the Black Hole can be located with a minimum of two (2) co-located agents performing ***(n ) moves with O (1) tokens, in each of these three topologies. Then we study the Black Hole search problem with scattered agents. We show that the optimal number of moves can be achieved with the optimal number of mobile agents using O (1) tokens.