Ultra-Sparse Near-Additive Emulators

@article{Elkin2021UltraSparseNE,
  title={Ultra-Sparse Near-Additive Emulators},
  author={Michael Elkin and Shaked Matar},
  journal={Proceedings of the 2021 ACM Symposium on Principles of Distributed Computing},
  year={2021}
}
  • Michael Elkin, Shaked Matar
  • Published 2 June 2021
  • Computer Science
  • Proceedings of the 2021 ACM Symposium on Principles of Distributed Computing
Near-additive (aka (1+ε,β)β-) emulators and spanners are a fundamental graph-algorithmic construct, with numerous applications for computing approximate shortest paths and related problems in distributed, streaming and dynamic settings. Known constructions of near-additive emulators enable one to trade between their sparsity (i.e., number of edges) and the additive stretch β. Specifically, for any pair of parameters ε >0, κ=1,2,..., one can have a (1+ε,β)-emulator with O(n^1+1/κ ) edges, with… 
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