Distributed exact weighted all-pairs shortest paths in near-linear time

@article{Bernstein2018DistributedEW,
  title={Distributed exact weighted all-pairs shortest paths in near-linear time},
  author={Aaron Bernstein and Danupon Nanongkai},
  journal={Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing},
  year={2018}
}
  • A. BernsteinDanupon Nanongkai
  • Published 8 November 2018
  • Computer Science
  • Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing
In the distributed all-pairs shortest paths problem (APSP), every node in the weighted undirected distributed network (the CONGEST model) needs to know the distance from every other node using least number of communication rounds (typically called time complexity). The problem admits (1+o(1))-approximation Θ(n)-time algorithm and a nearly-tight Ω(n) lower bound [Nanongkai, STOC’14; Lenzen and Patt-Shamir PODC’15]. For the exact case, Elkin [STOC’17] presented an O(n5/3 log2/3 n) time bound… 

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