Streaming and fully dynamic centralized algorithms for constructing and maintaining sparse spanners

@article{Elkin2011StreamingAF,
  title={Streaming and fully dynamic centralized algorithms for constructing and maintaining sparse spanners},
  author={Michael Elkin},
  journal={ACM Trans. Algorithms},
  year={2011},
  volume={7},
  pages={20:1-20:17}
}
We present a streaming algorithm for constructing sparse spanners and show that our algorithm significantly outperforms the state-of-the-art algorithm for this task (due to Feigenbaum et al.). Specifically, the processing time per edge of our algorithm is O(1), and it is drastically smaller than that of the algorithm of Feigenbaum et al., and all other efficiency parameters of our algorithm are no greater (and some of them are strictly smaller) than the respective parameters of the state-of-the… CONTINUE READING
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