Spanners with Slack

@inproceedings{Chan2006SpannersWS,
  title={Spanners with Slack},
  author={T.-H. Hubert Chan and Michael Dinitz and Anupam Gupta},
  booktitle={ESA},
  year={2006}
}
Given a metric (V, d), a spanner is a sparse graph whose shortest-path metric approximates the distance d to within a small multiplicative distortion. In this paper, we study the problem of spanners with slack : e.g., can we find sparse spanners where we are allowed to incur an arbitrarily large distortion on a small constant fraction of the distances, but are then required to incur only a constant (independent of n) distortion on the remaining distances? We answer this question in the… CONTINUE READING
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