Hop-Constrained Metric Embeddings and their Applications

@article{Filtser2022HopConstrainedME,
  title={Hop-Constrained Metric Embeddings and their Applications},
  author={Arnold Filtser},
  journal={2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)},
  year={2022},
  pages={492-503}
}
  • Arnold Filtser
  • Published 28 June 2021
  • Computer Science
  • 2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)
In network design problems, such as compact routing, the goal is to route packets between nodes using the (approximated) shortest paths. A desirable property of these routes is a small number of hops, which makes them more reliable, and reduces the transmission costs. Following the overwhelming success of stochastic tree embeddings for algorithmic design, Haeupler, Hershkowitz, and Zuzic (STOC'21) studied hop-constrained Ramsey-type metric embeddings into trees. Specifically, embedding $f: G(V… 
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