A Distributed Algorithm for Knot Detection in a Distributed Graph

  • Authors:
  • D. Manivannan;Mukesh Singhal

  • Affiliations:
  • -;-

  • Venue:
  • ICPP '02 Proceedings of the 2002 International Conference on Parallel Processing
  • Year:
  • 2002

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Abstract

Knot detection in a distributed graph is an important problem and finds applications in several areas such as packet switching, distributed simulation, and distributed database systems. This paper presents a distributed algorithm to efficiently detect the existence of a knot in a distributed graph. The algorithm requires 2e messages and a delay of 2(d+1) message hops to detect if a node in a distributed graph is in a knot (e is the number of edges in the reachable part of the distributed graph and d is its diameter). A significant advantage of this algorithm isthat it not only detects if a node is in a knot but also finds exactly which nodes are involved in the knot.