Search in a small world

  • Authors:
  • Toby Walsh

  • Affiliations:
  • Department of Computer Science, University of Strathclyde, Glasgow, Scotland

  • Venue:
  • IJCAI'99 Proceedings of the 16th international joint conference on Artificial intelligence - Volume 2
  • Year:
  • 1999

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Abstract

In a graph with a "small world" topology, nodes are highly clustered yet the path length between them is small. Such a topology can make search problems very difficult since local decisions quickly propagate globally. We show that graphs associated with many different search problems have a small world topology, and that the cost of solving such search problems can have a heavy-tailed distribution. The strategy of randomization and restarts appears to eliminate these heavy tails. A novel restart schedule in which the cutoff bound is increased geometrically appears particularly effective.