Stabilization of general loop-free routing

  • Authors:
  • Jorge A. Cobb;Mohamed G. Gouda

  • Affiliations:
  • Department of Computer Science (MS EC-31), The University of Texas at Dallas, Richardson, Texas;Department of Computer Science, The University of Texas at Austin, Austin, Texas

  • Venue:
  • Journal of Parallel and Distributed Computing - Self-stabilizing distributed systems
  • Year:
  • 2002

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Abstract

We present a protocol for maintaining a spanning tree that is maximal with respect to any given (bounded and monotonic) routing metric. This protocol has two interesting adaptive properties. First, the protocol is stabilizing: starting from any state, the protocol stabilizes to a state where a maximal tree is present. Second, the protocol is loop-free: starting from any state where a spanning tree is present, the protocol stabilizes, without forming any loops, to a state where a maximal tree is present. The stabilization time of this protocol is O(n deg), where n is the number of nodes, and deg is the node degree in the network.