Deterministic Distributed Construction of Linear Stretch Spanners in Polylogarithmic Time

@inproceedings{Derbel2007DeterministicDC,
title={Deterministic Distributed Construction of Linear Stretch Spanners in Polylogarithmic Time},
author={Bilel Derbel and Cyril Gavoille and David Peleg},
booktitle={DISC},
year={2007}
}

The paper presents a deterministic distributed algorithm that given an n node unweighted graph constructs an O(n) edge 3spanner for it in O(log n) time. This algorithm is then extended into a deterministic algorithm for computing an O(kn) edge O(k)-spanner in O(log n) time for every integer parameter k > 1. This establishes that the problem of the deterministic construction of a low stretch spanner with few edges can be solved in the distributed setting in polylogarithmic time. The paper also… CONTINUE READING