Optimal maintenance of a spanning tree

@article{Awerbuch2008OptimalMO,
  title={Optimal maintenance of a spanning tree},
  author={Baruch Awerbuch and Israel Cidon and Shay Kutten},
  journal={J. ACM},
  year={2008},
  volume={55},
  pages={18:1-18:45}
}
In this article, we show that keeping track of history enables significant improvements in the communication complexity of dynamic network protocols. We present a communication optimal maintenance of a spanning tree in a dynamic network. The amortized (on the number of topological changes) message complexity is O(V), where V is the number of nodes in the network. The message size used by the algorithm is O(log |ID|) where |ID| is the size of the name space of the nodes. Typically, log |ID| = O… CONTINUE READING
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